Graph toughness

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Let ω(G) denote the number of components of a graph G. A graph G is t-tough if |S| ≥ tω(G − S) for every subset S of the vertex set V (G) with ω(G − S) > 1 (According to Toughness in Graphs, Bauer, Broersma & Schmeichel).

In a t-tough graph, any t nodes can be removed without splitting the graph in two.

This combinatorics-related article is a stub. You can help Wikipedia by expanding it.

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• This page was last modified 07:23, 16 January 2007 by Wikipedia user David Eppstein. Based on work by Wikipedia user(s) Sjord.
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