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Hamiltonian path graphs
Authors:Gary Chartrand  S. F. Kapoor  E. A. Nordhaus
Abstract:The Hamiltonian path graph H(G) of a graph G is that graph having the same vertex set as G and in which two vertices u and v are adjacent if and only if G contains a Hamiltonian u-v path. A characterization of Hamiltonian graphs isomorphic to their Hamiltonian path graphs is presented.
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