Abstract:The complete double vertex graph M2(G) of G is defined as the graph whose vertices are the 2-multisubsets of V (G), and two of such vertices are adjacent in M2(G) if their symmetric difference (as multisets) is a pair of adjacent vertices in G. In this paper we exhibit an infinite family of graphs G (containing Hamiltonian and non-Hamiltonian graphs) for which M2(G) are Hamiltonian.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.