On super edge-connectivity of Cartesian product graphs
✍ Scribed by Min Lü; Guo-Liang Chen; Jun-Ming Xu
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 137 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The super edge connectivity properties of a graph G can be measured by the restricted edge connectivity Ј(G). We evaluate Ј(G) and the number of i-cutsets C i (G), d Յ i Յ 2d Ϫ 3, explicitly for each d-regular edge-symmetric graph G. These results improve the previous one by R. Tindell on the same s
## Abstract The restricted‐edge‐connectivity of a graph __G__, denoted by λ′(__G__), is defined as the minimum cardinality over all edge‐cuts __S__ of __G__, where __G__‐__S__ contains no isolated vertices. The graph __G__ is called λ′‐optimal, if λ′(__G__) = ξ(__G__), where ξ(__G__) is the minimum
## 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__ ⊆ __E__ is a restricted edge cut if __G__ − __S__ is disconnected and every component of __G__ − __S__ has at least two vertic
## Abstract This article proves the following result: Let __G__ and __G__′ be graphs of orders __n__ and __n__′, respectively. Let __G__^\*^ be obtained from __G__ by adding to each vertex a set of __n__′ degree 1 neighbors. If __G__^\*^ has game coloring number __m__ and __G__′ has acyclic chromat