On quasi-Cayley graphs
โ Scribed by Ginette Gauyacq
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 925 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
โฆ Synopsis
WC introduce the concept of quasi-Cayley graphs, a class of vertex-transitive graphs which contains Cayley graphs, and study some of their properties. By finding vertex-transitive graphs which are not quasi-Cayley graphs we give a negative answer to a question by Fuller and Krishnamurthy on the quasi-group representation of a vertex-transitive graph.
๐ SIMILAR VOLUMES
We address various channel assignment problems on the Cayley graphs of certain groups, computing the frequency spans by applying group theoretic techniques. In particular, we show that if G is the Cayley graph of an n-generated group with a certain kind of presentation, then (G; k, 1) โค 2(k +n-1). F