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Isomorphisms of Cayley graphs. II

✍ Scribed by L. Babai; P. Frankl

Publisher
Akadmiai Kiad
Year
1979
Tongue
English
Weight
439 KB
Volume
34
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES

On Isomorphisms of Connected Cayley Grap
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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

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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) ∼ = Cay(G, T ), there exists an automorphism Οƒ of G such that S Οƒ = 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

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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-

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The issue of when two Cayley digraphs on different abelian groups of prime power order can be isomorphic is examined. This had previously been determined by Anne Joseph for squares of primes; her results are extended.

On the Isomorphisms of Cayley Graphs of
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✍ Yan-Quan Feng; Yan-Pei Liu; Ming-Yao Xu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 190 KB

Let G be a finite group, S a subset of G=f1g; and let Cay ðG; SÞ denote the Cayley digraph of G with respect to S: If, for any subset T of G=f1g; CayðG; SÞ ffi CayðG; T Þ implies that S a ¼ T for some a 2 AutðGÞ; then S is called a CI-subset. The group G is called a CIM-group if for any minimal gene