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Conjecture of Li and Praeger concerning the isomorphisms of Cayley graphs of A5

✍ Scribed by Mingyao Xu; Xingui Fang; Hyo-Seob Sim; Young-Gheel Baik


Book ID
105640449
Publisher
SP Science China Press
Year
2001
Tongue
English
Weight
424 KB
Volume
44
Category
Article
ISSN
1674-7283

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πŸ“œ SIMILAR VOLUMES


On isomorphisms of connected Cayley grap
✍ Li Cai Heng πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 696 KB

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-

On Isomorphisms of Finite Cayley Graphs
✍ M. Conder; C. Heng Li πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 148 KB

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

On Isomorphisms of Connected Cayley Grap
✍ Cai Heng Li πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 182 KB

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

On the Isomorphisms of Cayley Graphs of
✍ 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