A lower bound on connectivities of matroid base graphs
โ Scribed by Guizhen Liu
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 853 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
The connectivity of a graph G and the corank of a matroid M are denoted by K(G) and p, respectively. X is shown that if a graph G is the base graph of a simple mat&d M, then K(G) L 2p and the lower bound of 2p izA best possible.
๐ 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 cyclically m-edge-connected n-connected k-regular graph is called an (m.n.k) graph. It is proved that for any m > 0 and k 2 3, there is an (m, k, k) bipartite graph. A graph G is n-extendable if every matching of size n in G lies in a perfect matching of G. We prove the existence of a (k2-1, k + 1