On the Structure of ak-Connected Graph
β Scribed by D. V. Karpov; A. V. Pastor
- Book ID
- 110404362
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 318 KB
- Volume
- 113
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
An element e of a 3-connected matroid M is essential if neither the deletion M\e nor the contraction M/e is 3-connected. Tutte's Wheels and Whirls Theorem proves that the only 3-connected matroids in which every element is essential are the wheels and whirls. In this paper, we consider those 3-conne
A minimal point disconnecting set S of a graph G is a nontrivial m-separator, where m = IS I, if the connected components of G -S can be partitioned into two subgraphs each of which has at least two points. A 3-connected graph is quasi 4-connected if it has no nontrivial 3separators. This paper prov
## 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