Minimum k ‐hamiltonian graphs, II

M. Paoli, W. W. Wong, Chris K.C. Wong · Journal of Graph Theory · 1986

Abstract We consider in this paper graphs which remain hamiltonian after the removal of k edges ( k ‐edge hamiltonian) or k vertices ( k ‐hamiltonian). These classes of graphs arise from reliability considerations in network design. In a previous paper, W. W. Wong and C. K. Wong presented families of minimum k ‐hamiltonian graphs and minimum k ‐edge hamiltonian graphs for k even. Here, we complete this study in the case where k is odd.

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