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Heawood's theorem and connectivity

Part of: Graph theory

Published online by Cambridge University Press:  26 February 2010

R. J. Cook
R. J. Cook
Affiliation:
University College, Cardiff
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Extract

Let G be a finite connected graph with no loops or multiple edges. The point-connectivity K(G) of G is the minimum number of points whose removal results in a disconnected or trivial graph. Similarly, the line-connectivity λ(G) of G is the minimum number of lines whose removal results in a disconnected or trivial graph. For the complete graph Kp we have

MSC classification

Secondary: 05C99: None of the above, but in this section

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Type
Research Article
Information
Mathematika , Volume 20 , Issue 2 , December 1973 , pp. 201 - 207
Copyright
Copyright © University College London 1973

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