Publication details
Hamilton cycles in strong products of graphs
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Graph Theory |
| Citation | |
| Doi | http://dx.doi.org/10.1002/jgt.20058 |
| Keywords | Hamilton cycles; strong graph product; graph powers |
| Description | We prove that the strong product of any n connected graphs of maximum degree at most n contains a Hamilton cycle. In particular, G(Delta) ((G)) is hamiltonian for each connected graph G, which answers in affirmative a conjecture of Bermond, Germa, and Heydemann. (c) 2005 Wiley Periodicals, Inc. |