Let X = (V, E) be a simple connected graph, the connectivity kappa(X) of X is the minimum cardinality of all vertex cut sets in X. Let x is an element of V(X), the set {x(g) : g is an element of Aut(X)} is called an orbit of Aut(X), the automorphism group of X. In this note, we prove that the connectivity of a connected bipartite graph with two orbits attains its minimum degree.
机构:
Department of Mathematics, China University of Mining and Technology
Center for Combinatorics and LPMC, Nankai UniversityDepartment of Mathematics, China University of Mining and Technology
Xiao-lin CHEN
Xue-liang LI
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Center for Combinatorics and LPMC, Nankai UniversityDepartment of Mathematics, China University of Mining and Technology
Xue-liang LI
Hui-shu LIAN
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机构:
Department of Mathematics, China University of Mining and Technology
Center for Combinatorics and LPMC, Nankai UniversityDepartment of Mathematics, China University of Mining and Technology