Super Restricted Edge Connectivity of Regular Graphs
β Scribed by Ou Jianping; Fuji Zhang
- Publisher
- Springer Japan
- Year
- 2005
- Tongue
- English
- Weight
- 244 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
## Abstract Restricted edge connectivity is a more refined network reliability index than edge connectivity. For a connected graph __G__ = (__V__, __E__), an edge set __S__ β __E__ is a restricted edge cut if __G__ β __S__ is disconnected and every component of __G__ β __S__ has at least two vertic
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
For a connected graph G = (V, E), an edge set S β E is a restricted edge cut if G -S is disconnected and there is no isolated vertex in G -S. The cardinality of a minimum restricted edge cut of G is the restricted edge connectivity of G, denoted by Ξ» (G). , where ΞΎ(G) is the minimum edge degree of