On graphical regular representations of direct products of groups
β Scribed by Chong-Keang Lim
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 239 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A Cayley graph = Cay(G, S) is called a graphical regular representation of the group G if Aut = G. One long-standing open problem about Cayley graphs is to determine which Cayley graphs are graphical regular representations of the corresponding groups. A simple necessary condition for to be a graphi
In this article, we improve known results, and, with one exceptional case, prove that when k β₯ 3, the direct product of the automorphism groups of graphs whose edges are colored using k colors, is itself the automorphism group of a graph whose edges are colored using k colors. We have handled the ca
A directed Cayley graph X is called a digraphical regular representation (DRR) of a group G if the automorphism group of X acts regularly on X . Let S be a finite generating set of the infinite cyclic group Z. We show that a directed Cayley graph X (Z, S) is a DRR of Z if and only if As a general r