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 


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.


Maximum Degree Interesting Case Math Application Connected Digraph 
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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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