## Abstract It is well known that certain graphβtheoretic extremal questions play a central role in the study of communication network vulnerability. Herein we consider a generalization of some of the classical results in this area. We define a (__p__, Ξ, Ξ΄, Ξ») graph as a graph having __p__ points,
The connectivity and minimum degree of circuit graphs of matroids
β Scribed by Ping Li; Gui Zhen Liu
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2010
- Tongue
- English
- Weight
- 230 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
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## Abstract For a graph __G__, let __n__(__G__), ΞΊ(__G__) and Ξ΄(__G__) denote the order, the connectivity, and the minimum degree of __G__, respectively. The paper contains some conditions on __G__ implying ΞΊ(__G__) = Ξ΄(__G__). One of the conditions is that __n__(__G__) β€ Ξ΄(__G__)(2__p__ β1)/(2__p_