Because of their good properties, iterated line digraphs (specially Kautz and de Bruijn digraphs) have been considered to design interconnection networks. The diameter-vulnerability of a digraph is the maximum diameter of the subdigraphs obtained by deleting a fixed number of vertices or arcs. For a
Maximum diameter of regular digraphs
✍ Scribed by Josè Soares
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 512 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We prove that every r‐biregular digraph with n vertices has its directed diamter bounded by (3__n__ ‐ r ‐ 3)/(r +1). We show that this bound is tight for directed as well as for undirected graphs. The upper bound remains valid for Eulerian digraphs with minimum outdegree r. © 1929 John Wiley & Sons, Inc.
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