Hamiltonian path graphs
Gary Chartrand, S. F. Kapoor, E. A. Nordhaus · Journal of Graph Theory · 1983
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.