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Degree and local connectivity in digraphs
Authors:W. Mader
Affiliation:1. Institut für Mathematik, Universit?t Hannover, Welfengarten 1, D 3, Hannover 1, Germany
Abstract:
It is shown that there is a digraphD of minimum outdegree 12m and 
$$mathop {max }limits_{x ne y} $$
μ(x, y; D)=11m, but every digraphD of minimum outdegreen contains verticesxy withλ(x, y; D)≧n−1, whereμ(x, y; D) andλ(x, y; D) denote the maximum number of openly disjoint and edge-disjoint paths, respectively.
Keywords:05 C 40  05 C 20  05 C 38
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