KnowraVertex-transitive graphLinked fromLinked fromThe 6 pages that link to Vertex-transitive graph, each with the reason it gives.All 6Broader topic 1Related 2Narrower topic 2Compared with 1Graph automorphismBroader topic: Its automorphisms can carry any vertex to any other.Petersen graphNarrower topic: Every Petersen graph vertex occupies the same position under its symmetries.Regular graphCompared with: Vertex transitivity implies regularity, but regular graphs need not have this symmetry.Cheryl PraegerRelated: These graphs provide a central setting for studying permutation groups and symmetry.Generalized Petersen graphRelated: Generalized Petersen graphs are vertex-transitive only for particular parameter choices.Lovász conjectureNarrower topic: Vertex-transitivity is the symmetry condition imposed on every graph in the conjecture.