On Isomorphisms of Minimal Cayley Graphs and Digraphs
โ Scribed by Cai Heng Li; Sanming Zhou
- Publisher
- Springer Japan
- Year
- 2001
- Tongue
- English
- Weight
- 119 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0911-0119
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๐ SIMILAR VOLUMES
## Abstract Let __Z__~__p__~ denote the cyclic group of order __p__ where __p__ is a prime number. Let __X__ = __X__(__Z__~__p__~, __H__) denote the Cayley digraph of __Z__~__p__~ with respect to the symbol __H__. We obtain a necessary and sufficient condition on __H__ so that the complete graph on
A Cayley graph Cay(G, S) of a group G is called a CI-graph if whenever T is another subset of G for which Cay(G, S) โผ = Cay(G, T ), there exists an automorphism ฯ of G such that S ฯ = T . For a positive integer m, the group G is said to have the m-CI property if all Cayley graphs of G of valency m a
Let G be a finite group and Cay(G,S) the Cayley graph of G with respect to S. A subset S is called a CI-subset if, for any TCG, Cay(G,S) ~ Cay(G,T) implies S ~ = T for some ct E Aut(G). In this paper, we investigate the finite groups G in which every subset S with size at most m and (S) = G is a CI-
A Cayley graph or digraph Cay(G, S) of a finite group G is called a CI-graph of G if, for any T/G, Cay(G, S)$Cay(G, T) if and only if S \_ =T for some \_ # Aut(G). We study the problem of determining which Cayley graphs and digraphs for a given group are CI-graphs. A finite group G is called a conne