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.2012.1871چکیده
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 $K_2$.