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- In graph theory, a vertex-transitive graph is a graph in which, given any two vertices v1 and v2 of G, there is some automorphism such that the image of v1 is v21. In other words, a graph is vertex-transitive if its automorphism group acts transitively on its vertices. In geometry, a polytope or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure2.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.Vertex-transitive graph - Wikipedia Vertex-transitive graph In the mathematical field of graph theory, a vertex-transitive graph is a graph G in which, given any two vertices v1 and v2 of G, there is some automorphism such that In other words, a graph is vertex-transitive if its automorphism group acts transitively on its vertices.en.wikipedia.org/wiki/Vertex-transitive_graphIn geometry, a polytope (e.g. a polygon or polyhedron) or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure. This implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same angles between corresponding faces.en.wikipedia.org/wiki/Isogonal_figure
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In the mathematical field of graph theory, a vertex-transitive graph is a graph G in which, given any two vertices v1 and v2 of G, there is some automorphism $${\displaystyle f:V(G)\to V(G)\ }$$such that $${\displaystyle f(v_{1})=v_{2}.\ }$$In other words, a graph is vertex-transitive if its automorphism … See more
Finite vertex-transitive graphs include the symmetric graphs (such as the Petersen graph, the Heawood graph and the vertices and edges of the Platonic solids). The finite See more
The edge-connectivity of a connected vertex-transitive graph is equal to the degree d, while the vertex-connectivity will be at least 2(d + … See more
Infinite vertex-transitive graphs include:
• infinite paths (infinite in both directions)
• infinite regular trees, e.g. the Cayley graph of the free group See more• Weisstein, Eric W. "Vertex-transitive graph". MathWorld.
• A census of small connected cubic vertex-transitive graphs . Primož Potočnik, Pablo Spiga, Gabriel … See moreWikipedia text under CC-BY-SA license WEBMay 16, 2024 · A vertex-transitive graph, also sometimes called a node symmetric graph (Chiang and Chen 1995), is a graph such that every pair of vertices is equivalent under some element of its automorphism group.
Vertex-transitive - Wikipedia
WEBWhat is a vertex-transitive graph? (Question about Lovász Conjecture) Ask Question. Asked 5 years, 1 month ago. Modified 5 years, 1 month ago. Viewed 1k times. 0. I was reading about Lovász Conjecture and came …
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