Connectivity of minimal Cayley graphs
β Scribed by C. D. Godsil
- Book ID
- 112501417
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 175 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A restricted edge cut of a graph X is an edge set whose removal disconnects X into nontrivial components. The cardinality of the minimum restricted edge cut is the restricted edge connectivity, denoted by Ξ» β² (X). If X has restricted edge cuts and Ξ» β² (X) achieves the upper bound of the restricted e
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-
We prove that partitionable graphs are 2w -2-connected, that this bound is sharp, and prove some structural properties of cutsets of cardinality 2w -2. The proof of the connectivity result is a simple linear algebraic proof.