3-restricted connectivity of graphs with given girth
β Scribed by Li-tao Guo; Ji-xiang Meng
- Book ID
- 107500867
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2008
- Tongue
- English
- Weight
- 164 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1005-1031
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π SIMILAR VOLUMES
In this paper, we show that for any given two positive integers g and k with g > 3, there exists a graph (digraph) G with girth g and connectivity k. Applying this result, we give a negative answer to the problem proposed by M. Junger, G. Reinelt and W.R Pulleyblank (1985).
## Abstract The girth pair of a graph gives the length of a shortest odd and a shortest even cycle. The existence of regular graphs with given degree and girth pair is proved and simple bounds for their smallest order are developed. Several infinite classes of such graphs are constructed and it is
A node of a graph G, thought of as representing a communication network, is said to be redundant provided that its removal does not diminish the connectivity. In constructing networks, we require reliable connectedness in addition to the usual requirement of reliability (i.e., the higher the connect