Youtor
What are Cycle Graphs Graph Theory Graph Cycles Cyclic Graphs
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=tcCoQySN7Xs
What are cycle graphs? We have talked before about graph cycles, which refers to a way of moving through a graph, but a cycle graph is slightly different. A cycle graph is what you would get if you took the vertices and edges of a graph cycle. We can think of cycle graphs as being path graphs, but then joining the first and last vertices in the path, thus making it a cycle graph. • Let G = (V, E) be a graph of order n. Then G is a cycle graph if and only if we can label its vertices v_1 through v_n such that its edge set is given by E = { {v_i, v_{i + 1} } | 1 is less than or equal to i is less than or equal to n-1 } U { v_1, v_n }. • If a graph G has at least one subgraph that is a cycle graph, then G is called a cyclic graph . Otherwise, it is called an acyclic graph . • Cycle graphs are regular graphs where every vertex has degree 2, so they are 2-regular. • • I hope you find this video helpful, and be sure to ask any questions down in the comments! • ******************************************************************** • The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work. • Vallow Bandcamp: https://vallow.bandcamp.com/ • Vallow Spotify: https://open.spotify.com/artist/0fRtu... • Vallow SoundCloud: / benwatts-3 • ******************************************************************** • +WRATH OF MATH+ • ◆ Support Wrath of Math on Patreon: / wrathofmathlessons • Follow Wrath of Math on... • ● Instagram: / wrathofmathedu • ● Facebook: / wrathofmath • ● Twitter: / wrathofmathedu • My Music Channel: / seanemusic
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