SOME RESULTS FOR THE RUPTURE DEGREE

作者:Aytac Aysun*; Aksu Hanife
来源:International Journal of Foundations of Computer Science, 2013, 24(8): 1329-1338.
DOI:10.1142/S0129054113500366

摘要

The rupture degree of an incomplete connected graph G is defined by %26lt;br%26gt;r(G) = max{w(G - S) - vertical bar S vertical bar - m(G - S) : S CV(G), w(G - S) %26gt;= 2}, %26lt;br%26gt;where w(G - 5) denotes the number of components in the graph G - S and m(G - 5) is the order of the largest component of G - S. This parameter can be used to measure the vulnerability of a graph. In this paper, some bounds consisted of the relationships between the rupture degree and some vulnerability parameters on the rupture degree of a graph are given.

  • 出版日期2013-12

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