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Let X = (V,E) be a simple connected graph, the connectivity 驴(X) of X is the minimum cardinality of all vertex cut sets in X. Let x 驴 V(X), the set {x g :g 驴 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.

Connectivity of Connected Bipartite Graphs with Two Orbits