Conditional edge connectivity properties, reliability comparisons and transitivity of graphs
β Scribed by Ming Wang; Qiao Li
- Book ID
- 108315755
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 139 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
The super edge connectivity properties of a graph G can be measured by the restricted edge connectivity Π(G). We evaluate Π(G) and the number of i-cutsets C i (G), d Υ i Υ 2d Οͺ 3, explicitly for each d-regular edge-symmetric graph G. These results improve the previous one by R. Tindell on the same s
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
## Abstract Let __G__ be a connected graph of order __p__ β₯ 2, with edgeβconnectivity ΞΊ~1~(__G__) and minimum degree Ξ΄(__G__). It is shown her ethat in order to obtain the equality ΞΊ~1~(__G__) = Ξ΄(__G__), it is sufficient that, for each vertex __x__ of minimum degree in __G__, the vertices in the n