Hamilton-connected properties in cartesian product
Rushengul Hoshur, Elkin Vumar · DOAJ (DOAJ: Directory of Open Access Journals) · 2012
In this paper, we investigate a problem of finding natural condition to assure the product of two graphs to be hamilton-connected. We present some sufficient and necessary conditions for $GBox H$ being hamilton-connected when $G$ is a hamilton-connected graph and $H$ is a tree or $G$ is a hamiltonian graph and $H$ is $K_2$.