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Note on the vertex 2–connectivity of a graph

Part of: Graph theory

Published online by Cambridge University Press:  26 February 2010

Dănuţ Marcu
Dănuţ Marcu
Affiliation:
Institute of Mathematics, Academiei 14, 70109–Bucharest, Romania.
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Extract

In this paper we show that every finite connected graph G = (V, E), without loops and for which its spanning trees are the blocks of a balanced incomplete block design on E containing more than one block (E is the set of edges), is vertex 2–connected.

MSC classification

Secondary: 05C40: Connectivity
Type
Research Article
Information
Mathematika , Volume 35 , Issue 1 , June 1988 , pp. 69 - 71
Copyright
Copyright © University College London 1988

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References

1.Aigner, M.. Combinatorial Theory (Springer-Verlag, 1979).CrossRefGoogle Scholar
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4.Tutte, W. T.. Introduction to the Theory of Matroids (Elsevier, 1971).Google Scholar