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Isomorphisms of Connected Cayley Digraphs

โœ Scribed by Cai Heng Li

Publisher
Springer Japan
Year
1998
Tongue
English
Weight
163 KB
Volume
14
Category
Article
ISSN
0911-0119

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๐Ÿ“œ SIMILAR VOLUMES

On isomorphisms of connected Cayley grap
On isomorphisms of connected Cayley graphs
โœ Li Cai Heng ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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-

Isomorphisms of Finite Cayley Digraphs o
Isomorphisms of Finite Cayley Digraphs of Bounded Valency
โœ Cai Heng Li; Cheryl E. Praeger; Ming Yao Xu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 377 KB

Let G be a finite group, S a subset of G" [1], and let Cay(G, S ) denote the Cayley digraph of G with respect to S. If, for all subsets S, T of G"[1] of size at most m, Cay(G, S )$Cay(G, T) implies that S \_ =T for some \_ # Aut(G), then G is called an m-DCI-group. In this paper, we prove that, for

On Isomorphisms of Connected Cayley Grap
On Isomorphisms of Connected Cayley Graphs, II
โœ Cai Heng Li ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Isomorphisms of Finite Cayley Digraphs o
Isomorphisms of Finite Cayley Digraphs of Bounded Valency, II
โœ Cai Heng Li ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

For a finite group G and a subset S of G which does not contain the identity of G, denote by Cay(G, S) the Cayley digraph of G with respect to S. An automorphism \_ of the group G induces a graph isomorphism from Cay(G, S) to Cay(G, S \_ ). In this paper, we investigate groups G and Cayley digraphs