Bipartite Graphs الرسوم البيانية ثنائية الأجزاء

>> DOWNLOAD LINK 🎞️ #1 <<

>> DOWNLOAD LINK 🎞️ #2 <<

>> COPY / PASTE LINK PLEASE 🎵 MP3 <<

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=T62jhYPZZbk

Definition of Bipartite Graphs. • Bipartite Graph Algorithm. • Sum of Degrees of vertices in a Bipartite Graph. • Balanced bipartite graph. • Complete Bipartite Graph. • Regular Bipartite Graph. • The number of Bipartite Graphs. • تعريف الرسوم البيانية انائية الأجزاء • خوارزمية الرسم البياني ثنائي الأجزاء • الرسم البياني ثنائي الأجزاء المتوازن • الرسم البياني ثنائي الأجزاء الكامل • الرسم البياني ثنائي الأجزاء المنتظم • عدد الرسوم البيانية ثنائية الأجزاء.","styleRuns":[{"startIndex":0,"length":444,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":444,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CK0BELsvGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC1Q2MmpoWVBaWmJrGAYyJSIRIgtUNjJqaFlQWlpiazAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CK0BELsvGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CKwBELovIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"H_BenJW_m1g","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/H_BenJW_m1g/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGGUgZShlMA8= rs=AOn4CLB9-BB5phImu-iBcJzz0-6Eg7IWWw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/H_BenJW_m1g/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLCFYA8-BRzQkiFa5VfTosV4PdhwDA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"An Euler Graph رسم أويلر البياني by Prof. Saleh Oqeili Lectures 13,113 views 2 years ago 15 minutes"}},"simpleText":"An Euler Graph رسم أويلر البياني"},"longBylineText":{"runs":[{"text":"Prof. Saleh Oqeili Lectures","navigationEndpoint":{"clickTrackingParams":"CKYBEKQwGAAiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@prof.salehoqeililectures9355","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC6VQRp9ekPosYq8c3lNwXbA","canonicalBaseUrl":"/@prof.salehoqeililectures9355"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"13,113 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"15 minutes, 41 seconds"}},"simpleText":"15:41"},"navigationEndpoint":{"clickTrackingParams":"CKYBEKQwGAAiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWRIucvlntjw6NZPmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=H_BenJW_m1g","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"H_BenJW_m1g","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr5---sn-nv47lns7.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=1ff05e9c95bf9b58 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1553750 mt=1739760997 oweuc= pxtags=Cg4KAnR4Egg1MTM4ODU0NQ rxtags=Cg4KAnR4Egg1MTM4ODU0Mg%2CCg4KAnR4Egg1MTM4ODU0Mw%2CCg4KAnR4Egg1MTM4ODU0NA%2CCg4KAnR4Egg1MTM4ODU0NQ"}}}}},"shortBylineText":{"runs":[{"text":"Prof. Saleh Oqeili Lectures","navigationEndpoint":{"clickTrackingParams":"CKYBEKQwGAAiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@prof.salehoqeililectures9355","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC6VQRp9ekPosYq8c3lNwXbA","canonicalBaseUrl":"/@prof.salehoqeililectures9355"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/thSu-SW76gfr_deVkhq0iCbmn8sVYwE_hWUVJrZrRe4nVJ_izjqjmLzwZO8dvvHZCXwZjAlN=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKYBEKQwGAAiEwjm4ZLJ3MmLAxULBHMJHaRiL1BA2Lb-rcnTl_gf","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"13K views"}},"simpleText":"13K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKoBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKoBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"H_BenJW_m1g","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKoBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["H_BenJW_m1g"],"params":"CAQ%3D"}},"videoIds":["H_BenJW_m1g"]}},{"clickTrackingParams":"CKoBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKsBELlqIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},"popupType":"TOAST"}}]}},"trackingParams":"CKoBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKYBEKQwGAAiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtIX0JlbkpXX20xZw%3D%3D","commands":[{"clickTrackingParams":"CKYBEKQwGAAiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKkBEI5iIhMI5uGSydzJiwMVCwRzCR2kYi9Q","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKYBEKQwGAAiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","hasSeparator":true}}],"trackingParams":"CKYBEKQwGAAiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"15 minutes, 41 seconds"}},"simpleText":"15:41"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKgBEPnnAxgBIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"H_BenJW_m1g","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKgBEPnnAxgBIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"H_BenJW_m1g"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKgBEPnnAxgBIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKcBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKcBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"H_BenJW_m1g","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKcBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["H_BenJW_m1g"],"params":"CAQ%3D"}},"videoIds":["H_BenJW_m1g"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKcBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"An Euler Graph رسم أويلر البياني - 15 minutes - Go to channel - Prof. Saleh Oqeili Lectures - 13K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"I0uiQyAs5G4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/I0uiQyAs5G4/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLB1-rkfyo7ZH4CxaO5kMkSfOljujQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/I0uiQyAs5G4/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLB8qGy3I1ruoDGCyAXdgeZS6oru8w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Arbre couvrant de poids minimal : algo. de Prim by À la découverte des graphes 175,589 views 7 years ago 8 minutes, 23 seconds"}},"simpleText":"Arbre couvrant de poids minimal : algo. de Prim"},"longBylineText":{"runs":[{"text":"À la découverte des graphes","navigationEndpoint":{"clickTrackingParams":"CKABEKQwGAEiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@a_la_decouverte_des_graphes","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCHtJVeNLyR1yuJ1_xCK1WRg","canonicalBaseUrl":"/@a_la_decouverte_des_graphes"}}}]},"publishedTimeText":{"simpleText":"7 years ago"},"viewCountText":{"simpleText":"175,589 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"8 minutes, 23 seconds"}},"simpleText":"8:23"},"navigationEndpoint":{"clickTrackingParams":"CKABEKQwGAEiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWRIucvlntjw6NZPmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=I0uiQyAs5G4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"I0uiQyAs5G4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=234ba243202ce46e ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1623750 mt=1739760997 oweuc= pxtags=Cg4KAnR4Egg1MTM4ODU0NQ rxtags=Cg4KAnR4Egg1MTM4ODU0Mg%2CCg4KAnR4Egg1MTM4ODU0Mw%2CCg4KAnR4Egg1MTM4ODU0NA%2CCg4KAnR4Egg1MTM4ODU0NQ"}}}}},"shortBylineText":{"runs":[{"text":"À la découverte des graphes","navigationEndpoint":{"clickTrackingParams":"CKABEKQwGAEiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@a_la_decouverte_des_graphes","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCHtJVeNLyR1yuJ1_xCK1WRg","canonicalBaseUrl":"/@a_la_decouverte_des_graphes"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kn9OZbzUGt15kX_1ppzWQDw8OfA7-mbvzVxzIQeWRPGIo=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKABEKQwGAEiEwjm4ZLJ3MmLAxULBHMJHaRiL1BA7sizgbLI6KUj","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"175K views"}},"simpleText":"175K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKQBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKQBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"I0uiQyAs5G4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKQBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["I0uiQyAs5G4"],"params":"CAQ%3D"}},"videoIds":["I0uiQyAs5G4"]}},{"clickTrackingParams":"CKQBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKUBELlqIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},"popupType":"TOAST"}}]}},"trackingParams":"CKQBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKABEKQwGAEiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtJMHVpUXlBczVHNA%3D%3D","commands":[{"clickTrackingParams":"CKABEKQwGAEiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKMBEI5iIhMI5uGSydzJiwMVCwRzCR2kYi9Q","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKABEKQwGAEiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","hasSeparator":true}}],"trackingParams":"CKABEKQwGAEiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"8 minutes, 23 seconds"}},"simpleText":"8:23"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKIBEPnnAxgBIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"I0uiQyAs5G4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKIBEPnnAxgBIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"I0uiQyAs5G4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKIBEPnnAxgBIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKEBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKEBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"I0uiQyAs5G4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKEBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["I0uiQyAs5G4"],"params":"CAQ%3D"}},"videoIds":["I0uiQyAs5G4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKEBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Arbre couvrant de poids minimal : algo. de Prim - 8 minutes, 23 seconds - Go to channel - À la découverte des graphes - 175K views - 7 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"nEP06aC_4Fg","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/nEP06aC_4Fg/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBgxPjDPl_dhltigi4cnkr_CeXGYw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/nEP06aC_4Fg/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBjShIMhsKx3Rkrt_jbQ-iXoPMtEg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Computer Science Math Books by The Math Sorcerer 3,542 views 11 hours ago 12 minutes, 18 seconds"}},"simpleText":"Computer Science Math Books"},"longBylineText":{"runs":[{"text":"The Math Sorcerer","navigationEndpoint":{"clickTrackingParams":"CJoBEKQwGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheMathSorcerer","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCr7lmzIk63PZnBw3bezl-Mg","canonicalBaseUrl":"/@TheMathSorcerer"}}}]},"publishedTimeText":{"simpleText":"11 hours ago"},"viewCountText":{"simpleText":"3,542 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"12 minutes, 18 seconds"}},"simpleText":"12:18"},"navigationEndpoint":{"clickTrackingParams":"CJoBEKQwGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWRIucvlntjw6NZPmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=nEP06aC_4Fg","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"nEP06aC_4Fg","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=9c43f4e9a0bfe058 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1623750 mt=1739760997 oweuc= pxtags=Cg4KAnR4Egg1MTM4ODU0NQ rxtags=Cg4KAnR4Egg1MTM4ODU0Mg%2CCg4KAnR4Egg1MTM4ODU0Mw%2CCg4KAnR4Egg1MTM4ODU0NA%2CCg4KAnR4Egg1MTM4ODU0NQ"}}}}},"shortBylineText":{"runs":[{"text":"The Math Sorcerer","navigationEndpoint":{"clickTrackingParams":"CJoBEKQwGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheMathSorcerer","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCr7lmzIk63PZnBw3bezl-Mg","canonicalBaseUrl":"/@TheMathSorcerer"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CJoBEKQwGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1A="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lPetcFBmgKr-Da_LwWlRfYaaOX2rJ1yJr6qkxE6gNn4gg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CJoBEKQwGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CJoBEKQwGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1BA2MD_hZqd_aGcAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"3.5K views"}},"simpleText":"3.5K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJ4BEP6YBBgIIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJ4BEP6YBBgIIhMI5uGSydzJiwMVCwRzCR2kYi9Q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"nEP06aC_4Fg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJ4BEP6YBBgIIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["nEP06aC_4Fg"],"params":"CAQ%3D"}},"videoIds":["nEP06aC_4Fg"]}},{"clickTrackingParams":"CJ4BEP6YBBgIIhMI5uGSydzJiwMVCwRzCR2kYi9Q","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJ8BELlqIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},"popupType":"TOAST"}}]}},"trackingParams":"CJ4BEP6YBBgIIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJoBEKQwGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtuRVAwNmFDXzRGZw%3D%3D","commands":[{"clickTrackingParams":"CJoBEKQwGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJ0BEI5iIhMI5uGSydzJiwMVCwRzCR2kYi9Q","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJoBEKQwGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","hasSeparator":true}}],"trackingParams":"CJoBEKQwGAIiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"12 minutes, 18 seconds"}},"simpleText":"12:18"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJwBEPnnAxgDIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"nEP06aC_4Fg","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJwBEPnnAxgDIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"nEP06aC_4Fg"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJwBEPnnAxgDIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJsBEMfsBBgEIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJsBEMfsBBgEIhMI5uGSydzJiwMVCwRzCR2kYi9Q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"nEP06aC_4Fg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJsBEMfsBBgEIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["nEP06aC_4Fg"],"params":"CAQ%3D"}},"videoIds":["nEP06aC_4Fg"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJsBEMfsBBgEIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Computer Science Math Books - 12 minutes, 18 seconds - Go to channel - The Math Sorcerer - 3.5K views - 11 hours ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/nEP06aC_4Fg/mqdefault_6s.webp?du=3000 sqp=CMDMyr0G rs=AOn4CLCvMPVOwCM4TV7Xpgn5FuJtmyfacA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"yq0yVdhTd1I","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/yq0yVdhTd1I/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGGUgZShlMA8= rs=AOn4CLDl8MbGthY3fXBiKy9tLS4ETlZ_nA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/yq0yVdhTd1I/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLDfqw6X46gi665zrgrbtKwdL820iw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Isomorphism of Graphs تشابه (تماثل) الرسوم البيانية by Prof. Saleh Oqeili Lectures 4,948 views 2 years ago 30 minutes"}},"simpleText":"Isomorphism of Graphs تشابه (تماثل) الرسوم البيانية"},"longBylineText":{"runs":[{"text":"Prof. Saleh Oqeili Lectures","navigationEndpoint":{"clickTrackingParams":"CJQBEKQwGAMiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@prof.salehoqeililectures9355","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC6VQRp9ekPosYq8c3lNwXbA","canonicalBaseUrl":"/@prof.salehoqeililectures9355"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"4,948 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"30 minutes, 31 seconds"}},"simpleText":"30:31"},"navigationEndpoint":{"clickTrackingParams":"CJQBEKQwGAMiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWRIucvlntjw6NZPmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=yq0yVdhTd1I","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"yq0yVdhTd1I","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=caad3255d8537752 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1623750 mt=1739760997 oweuc= pxtags=Cg4KAnR4Egg1MTM4ODU0NQ rxtags=Cg4KAnR4Egg1MTM4ODU0Mg%2CCg4KAnR4Egg1MTM4ODU0Mw%2CCg4KAnR4Egg1MTM4ODU0NA%2CCg4KAnR4Egg1MTM4ODU0NQ"}}}}},"shortBylineText":{"runs":[{"text":"Prof. Saleh Oqeili Lectures","navigationEndpoint":{"clickTrackingParams":"CJQBEKQwGAMiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@prof.salehoqeililectures9355","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC6VQRp9ekPosYq8c3lNwXbA","canonicalBaseUrl":"/@prof.salehoqeililectures9355"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/thSu-SW76gfr_deVkhq0iCbmn8sVYwE_hWUVJrZrRe4nVJ_izjqjmLzwZO8dvvHZCXwZjAlN=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CJQBEKQwGAMiEwjm4ZLJ3MmLAxULBHMJHaRiL1BA0u7Nwt3KzNbKAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"4.9K views"}},"simpleText":"4.9K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJgBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJgBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"yq0yVdhTd1I","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJgBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["yq0yVdhTd1I"],"params":"CAQ%3D"}},"videoIds":["yq0yVdhTd1I"]}},{"clickTrackingParams":"CJgBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJkBELlqIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},"popupType":"TOAST"}}]}},"trackingParams":"CJgBEP6YBBgFIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJQBEKQwGAMiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt5cTB5VmRoVGQxSQ%3D%3D","commands":[{"clickTrackingParams":"CJQBEKQwGAMiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJcBEI5iIhMI5uGSydzJiwMVCwRzCR2kYi9Q","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJQBEKQwGAMiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","hasSeparator":true}}],"trackingParams":"CJQBEKQwGAMiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"30 minutes, 31 seconds"}},"simpleText":"30:31"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJYBEPnnAxgBIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"yq0yVdhTd1I","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJYBEPnnAxgBIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"yq0yVdhTd1I"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJYBEPnnAxgBIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJUBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJUBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"yq0yVdhTd1I","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJUBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["yq0yVdhTd1I"],"params":"CAQ%3D"}},"videoIds":["yq0yVdhTd1I"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJUBEMfsBBgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Isomorphism of Graphs تشابه (تماثل) الرسوم البيانية - 30 minutes - Go to channel - Prof. Saleh Oqeili Lectures - 4.9K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"bZBmN7I7GNQ","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/bZBmN7I7GNQ/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCBeFzNL1bZjoW2kB3EqoK1f9mamQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/bZBmN7I7GNQ/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLC1SYgwYqyNlJhoZ4oSrPNzN6FiYw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"How to Tell if Graph is Bipartite (by hand) | Graph Theory by Wrath of Math 77,967 views 3 years ago 8 minutes, 55 seconds"}},"simpleText":"How to Tell if Graph is Bipartite (by hand) | Graph Theory"},"longBylineText":{"runs":[{"text":"Wrath of Math","navigationEndpoint":{"clickTrackingParams":"CI4BEKQwGAQiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@WrathofMath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCyEKvaxi8mt9FMc62MHcliw","canonicalBaseUrl":"/@WrathofMath"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"77,967 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"8 minutes, 55 seconds"}},"simpleText":"8:55"},"navigationEndpoint":{"clickTrackingParams":"CI4BEKQwGAQiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWRIucvlntjw6NZPmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=bZBmN7I7GNQ","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"bZBmN7I7GNQ","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=6d906637b23b18d4 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1623750 mt=1739760997 oweuc= pxtags=Cg4KAnR4Egg1MTM4ODU0NQ rxtags=Cg4KAnR4Egg1MTM4ODU0Mg%2CCg4KAnR4Egg1MTM4ODU0Mw%2CCg4KAnR4Egg1MTM4ODU0NA%2CCg4KAnR4Egg1MTM4ODU0NQ"}}}}},"shortBylineText":{"runs":[{"text":"Wrath of Math","navigationEndpoint":{"clickTrackingParams":"CI4BEKQwGAQiEwjm4ZLJ3MmLAxULBHMJHaRiL1AyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@WrathofMath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCyEKvaxi8mt9FMc62MHcliw","canonicalBaseUrl":"/@WrathofMath"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/4dki5YPdT05Ls9qZwh7omAfETE1ygljg2ErZUPaqN0Hje01mCYKGv5nXvhBt5jXbb6efqTvFLA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CI4BEKQwGAQiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CI4BEKQwGAQiEwjm4ZLJ3MmLAxULBHMJHaRiL1BA1LHskfvGmcht","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"77K views"}},"simpleText":"77K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJIBEP6YBBgHIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJIBEP6YBBgHIhMI5uGSydzJiwMVCwRzCR2kYi9Q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"bZBmN7I7GNQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJIBEP6YBBgHIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["bZBmN7I7GNQ"],"params":"CAQ%3D"}},"videoIds":["bZBmN7I7GNQ"]}},{"clickTrackingParams":"CJIBEP6YBBgHIhMI5uGSydzJiwMVCwRzCR2kYi9Q","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJMBELlqIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},"popupType":"TOAST"}}]}},"trackingParams":"CJIBEP6YBBgHIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CI4BEKQwGAQiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtiWkJtTjdJN0dOUQ%3D%3D","commands":[{"clickTrackingParams":"CI4BEKQwGAQiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJEBEI5iIhMI5uGSydzJiwMVCwRzCR2kYi9Q","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CI4BEKQwGAQiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","hasSeparator":true}}],"trackingParams":"CI4BEKQwGAQiEwjm4ZLJ3MmLAxULBHMJHaRiL1A=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"8 minutes, 55 seconds"}},"simpleText":"8:55"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJABEPnnAxgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"bZBmN7I7GNQ","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJABEPnnAxgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"bZBmN7I7GNQ"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJABEPnnAxgCIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CI8BEMfsBBgDIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CI8BEMfsBBgDIhMI5uGSydzJiwMVCwRzCR2kYi9Q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"bZBmN7I7GNQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CI8BEMfsBBgDIhMI5uGSydzJiwMVCwRzCR2kYi9Q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["bZBmN7I7GNQ"],"params":"CAQ%3D"}},"videoIds":["bZBmN7I7GNQ"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CI8BEMfsBBgDIhMI5uGSydzJiwMVCwRzCR2kYi9Q"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"How to Tell if Graph is Bipartite (by hand) | Graph Theory - 8 minutes, 55 seconds - Go to channel - Wrath of Math - 77K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/bZBmN7I7GNQ/mqdefault_6s.webp?du=3000 sqp=CJiryr0G rs=AOn4CLDYKvwI1TdhBOsZi82pKnx48p7s3A","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/4x-ElBRoHWI/hqdefault.jpg?sqp=-oaymwEwCKgBEF5IWvKriqkDIwgBFQAAiEIYAfABAfgB_giAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLA92XAPaPQc6sM5cBcDfyFYBIiO9g","width":168,"height":94},{"url":"https://i.ytimg.com/vi/4x-ElBRoHWI/hqdefault.jpg?sqp=-oaymwExCNACELwBSFryq4qpAyMIARUAAIhCGAHwAQH4Af4IgALQBYoCDAgAEAEYZSBlKGUwDw== rs=AOn4CLCGbK2RdPUkp8cbDJHqMNybTRHoUg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"80 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Algorithms Design and Analysis [In Arabic] تصميم وتحليل الخوارزميات"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Prof. Saleh Oqeili Lectures

#############################