Hamilton-connected properties in cartesian product

نویسندگان

1 College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

2 College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

doi
10.22108/toc.2012.1871
چکیده

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 $G\Box H$ being hamilton-connected when $G$ is a‎ ‎hamilton-connected graph and $H$ is a tree or $G$ is a hamiltonian‎ ‎graph and $H$ is $K_2$‎.