## Abstract In the context of the degree/diameter problem for directed graphs, it is known that the number of vertices of a strongly connected bipartite digraph satisfies a Moore‐like bound in terms of its diameter __k__ and the maximum out‐degrees (__d__~1~, __d__~2~) of its partite sets of vertic
On super-edge-connected digraphs and bipartite digraphs
✍ Scribed by M. A. Fiol
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 524 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0364-9024
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✦ Synopsis
Abstract
A maximally edge‐connected digraph is called super‐λ if every minimum edge disconnecting set is trivial, i.e., it consists of the edges adjacent to or from a given vertex. In this paper sufficient conditions for a digraph to be super‐λ are presented in terms of parameters such as diameter and minimum degree. Similar results are also given for bipartite digraphs. As a corollary, some characterizations of super‐λ graphs and bipartite graphs are obtained. © 1929 John Wiley & Sons, Inc.
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