It is proven that every connected Cayley graph X , of valency at least three, on a Hamiltonian group is either Hamilton laceable when X is bipartite, or Hamilton connected when X is not bipartite.
Connected graphs as subgraphs of Cayley graphs: Conditions on Hamiltonicity
✍ Scribed by Yong Qin; Wenjun Xiao; Štefko Miklavič
- Book ID
- 108114109
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 418 KB
- Volume
- 309
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
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