A kind of conditional vertex connectivity of star graphs
β Scribed by Min Wan; Zhao Zhang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 380 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
In this work, we prove that ΞΊ 2 (S n ) = 6(n -3) for n β₯ 4, where S n is the n-dimensional star graph.
π SIMILAR VOLUMES
Motivated by parallel routing in networks with faults, we study the following graph theoretical problem. Let G be a graph of minimum vertex degree d. We say that G is strongly Menger-connected if for any copy G f of G with at most d -2 nodes removed, every pair of nodes u and v in G f are connected
Recently, it was proved that if the diameter D of a graph G is small enough in comparison with its girth, then G is maximally connected and that a similar result also holds for digraphs. More precisely, if the diameter D of a digraph G satisfies D 5 21 -1, then G has maximum connectivity ( K = 6 ) .