D. Bauer, H. J. Broersma, R. Li, and H. J. Veldman proved that if G is a 2-connected graph with n vertices such that d(u) + d(v) + d(w) >= n + κ holds for any triple of independent vertices u, v, and w, then G is hamiltonian, where κ is the vertex connectivity of G. In this note, we will give a short proof of the above result.
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机译:D. Bauer,HJ Broersma,R。Li和HJ Veldman证明,如果G是具有n个顶点的2连通图,则d(u)+ d(v)+ d(w)> = n +κ成立如果独立顶点u,v和w的任何三元组,则G是哈密顿量,其中κ是G的顶点连通性。在此注释中,我们将简要证明上述结果。
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