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Acta Mathematicae Applicatae Sinica

, Volume 8, Issue 2, pp 144–152 | Cite as

An inequality relating the order, maximum degree, diameter and connectivity of a strongly connected digraph

  • Xu Junming 
Article

Abstract

We prove that if there is a strongly connected digraph of ordern, maximum degreed, diameterk and connectivityc, thenn≤c dk−d /d−1+d+1. It improves the previous known results, and it, in fact, is the best possible for several interesting cases. A similar result for arc connectivity is also established.

Keywords

Maximum Degree Interesting Case Math Application Connected Digraph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A. 1992

Authors and Affiliations

  • Xu Junming 
    • 1
  1. 1.University of Science and Technology of ChinaHefeiChina

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