minimum tenacity of toroidal graphs
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abstract
the tenacity of a graph g, t(g), is de ned by t(g) = min{[|s|+τ(g-s)]/[ω(g-s)]}, where the minimum is taken over all vertex cutsets s of g. we de ne τ(g - s) to be the number of the vertices in the largest component of the graph g - s, and ω(g - s) be the number of components of g - s.in this paper a lower bound for the tenacity t(g) of a graph with genus γ(g) is obtained using the graph's connectivity κ(g). then we show that such a bound for almost all toroidal graphs is best possible.
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Journal title:
journal of algorithms and computationجلد ۴۷، شماره ۱، صفحات ۱۲۷-۱۳۵
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