Local structure of 7- and 8-connected graphs
β Scribed by S. A. Obraztsova; A. V. Pastor
- Book ID
- 106436603
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 216 KB
- Volume
- 179
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract An edge of a 5βconnected graph is said to be contractible if the contraction of the edge results in a 5βconnected graph. Let __x__ be a vertex of a 5βconnected graph. We prove that if there are no contractible edges whose distance from __x__ is two or less, then either there are two tri
## Abstract An __m__β__covering__ of a graph __G__ is a spanning subgraph of __G__ with maximum degree at most __m__. In this paper, we shall show that every 3βconnected graph on a surface with Euler genus __k__ββ₯β2 with sufficiently large representativity has a 2βconnected 7βcovering with at most
The local connectivity ΞΊ(u, v) of two vertices u and v in a graph G is the maximum number of internally disjoint u-v paths in G, and the connectivity of G is defined as } for all pairs u and v of vertices in G. Let Ξ΄(G) be the minimum degree of G. We call a graph G maximally connected when ΞΊ(G) = Ξ΄