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
A generalization of the regular representation of finite Abelian groups
β Scribed by Charles Wells
- Publisher
- Springer Vienna
- Year
- 1968
- Tongue
- English
- Weight
- 223 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0026-9255
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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
A finite Abelian group G is partitioned into subsets which are translations of each othtr. A binary operation is defined on these sets in a way which generalizes the quotient group operation. Every finite Abelian group can be realized as such a generalized quotient with G cyclic.