Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/931944
- Title
- Hamilton paths in Cayley graphs on generalized dihedral groups
- Author/Creator
-
Alspach, Brian;
Chen, C. C.;
Dean, Matthew
- Institution
- The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
- Description
- We investigate the existence of Hamilton paths in connected Cayley graphs on generalized dihedral groups. In particular, we show that a connected Cayley graph of valency at least three on a generalized dihedral group, whose order is divisible by four, is Hamilton connected, unless it is bipartite, in which case it is Hamilton-laceable.
- Relation
- ARS Mathematica Contemporanea Vol. 3, Issue 1, p. 29-47
- Relation
- http://amc.imfm.si/index.php/amc/issue/view/10
- Date
- 2010
- Publisher
- Drustvo Matematikov, Fizikov in Astronomov
- Keyword(s)
-
Hamilton-connected;
Hamilton-laceable;
Cayley graph;
generalized dihedral group;
honeycomb toroidal graph
- Resource Type
- journal article
- Identifier
- http://hdl.handle.net/1959.13/931944
- Identifier
- ISSN:1855-3966
- Reviewed

11 Visitors
13 Hits
0 Downloads