On cyclic edge-connectivity of transitive graphs
β Scribed by Bing Wang; Zhao Zhang
- Book ID
- 108114131
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 720 KB
- Volume
- 309
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
Let G be a connected k-regular vertex-transitive graph on n vertices. For S V(G) let d(S) denote the number of edges between S and V(G)"S. We extend results of Mader and Tindell by showing that if d(S)< 2 9 (k+1) 2 for some S V(G) with 1 3 (k+1) |S| 1 2 n, then G has a factor F such that GΓE(F ) is
We find explicit values for the expected hitting times between neighboring vertices of random walks on edge-transitive graphs, extending prior results and allowing the computation of sharp upper and lower bounds for the expected cover times of those graphs.