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Minimum Tenacity of Toroidal graphs | ||
| Journal of Algorithms and Computation | ||
| مقاله 12، دوره 47، شماره 1، شهریور 2016، صفحه 127-135 اصل مقاله (235.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jac.2016.7951 | ||
| نویسنده | ||
| Hamid Doost Hosseini* | ||
| University of Tehran, College of Engineering, School of Civil Engineering | ||
| چکیده | ||
| The tenacity of a graph G, T(G), is dened by T(G) = min{[|S|+τ(G-S)]/[ω(G-S)]}, where the minimum is taken over all vertex cutsets S of G. We dene 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. | ||
| کلیدواژهها | ||
| genus؛ graph's connectivity؛ toroidal graphs | ||
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