Perfect matching transitivity of circulant graphs.

Isaac Armando Reiter, Ju Zhou

Abstract


A graph G is perfect matching transitive, shortly PM-transitive, if for any two perfect matchings M1 and M2 of G, there is an automorphism f : V(G)↦V(G) such that fe(M1)=M2, where fe(uv)=f(u)f(v). In this paper, the authors completely characterize the perfect matching transitivity of circulant graphs of order less than or equal to 10.

Keywords


automorphism; vertex-transitive; edge-transitive; perfect matching; perfect matching transitivity; PM-transitive; circulant graph

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DOI: http://dx.doi.org/10.5614/ejgta.2022.10.2.14

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