doi: 10.17706/ijapm.2016.6.3.112-119
Abelian Homegeneous Factorisations of Graphs
- School of Sciences, Anshun University, Anshun Guizhou, 561000, China
Abstract
A homogeneous factorisation of a graph Г is a partition of its arc set such that there exist vertex transitive subgroups M<G≤Aut(Г) such that M fixes each part setwise of the partition and Gpreserves the partition and transitive permuting the parts. In the present paper, we study homogeneous factorisation with M abelian. We give some interesting characterizations and constructions of such factorisations.
Keywords
- Cayley graph
- homogeneous factorisations
- abelian group
How to Cite
Huihong Wu and Shuqu Qian, "Abelian Homegeneous Factorisations of Graphs," International Journal of Applied Physics and Mathematics, vol. 6, no. 3, pp. 112-119, 2016. https://doi.org/ 10.17706/ijapm.2016.6.3.112-119
Copyright & License
Copyright © 2016 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).