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On Vertex-Edge-Critically n-Connected Graphs

Published online by Cambridge University Press:  12 September 2008

W. Mader
W. Mader
Affiliation:
Institut für Mathematik, Universität Hanover, 30167 Hanover, Weifengarten 1, Germany
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Abstract

All digraphs are determined that have the property that when any vertex and any edge that are not adjacent are deleted, the connectivity number decreases by two.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 3 , Issue 2 , June 1994 , pp. 257 - 271
Copyright
Copyright © Cambridge University Press 1994

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References

[1]Mader, W. (1972) Ecken vom Grad n in minimalen n-fach zusammenhängenden Graphen. Archiv der Mathematik 23, 219–224.CrossRefGoogle Scholar
[2]Mader, W. (1973) 1-Faktoren von Graphen. Math. Ann. 201, 269–282.CrossRefGoogle Scholar
[3]Mader, W. (1979) Zur Struktur minimal n-fach zusammenhängender Graphen. Abh. Math. Sem. Universität Hamburg 49, 49–69.CrossRefGoogle Scholar
[4]Mader, W. (1985) Minimal n-fach zusammenhängende Digraphen. J. Combinatorial Theory (B) 38, 102–117.CrossRefGoogle Scholar
[5]Mader, W. (in preparation) On vertices of outdegree n in n-minimal digraphs.Google Scholar
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