Vertex-transitive graph

In the mathematical field of graph theory, a vertex-transitive graph is a graph G such that, 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 upon its vertices. A graph is vertex-transitive if and only if its graph complement is, since the group actions are identical.

单词	Vertex transitive graph
释义	Vertex transitive graph 英语百科 Vertex-transitive graph In the mathematical field of graph theory, a vertex-transitive graph is a graph G such that, 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 upon its vertices. A graph is vertex-transitive if and only if its graph complement is, since the group actions are identical.
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Vertex transitive graph

Vertex-transitive graph