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图的粘连度与最大网络(英文) 被引量:1

Tenacity and the Maximum Network
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摘要 图G的粘连度定义为T(G)=min{[|X|+m(G-X)]/[ω(G-X)]:XV(G),且ω(G-X)>1}。本文我们在考虑图的粘连度的界的基础上指出了其取值范围,随后讨论了顶点数和粘连度给定的最大图的边数,并给出了该图的构造方法。 The tenacity of an incomplete connected graph G is defined as T(G)=min{[|X|+m(G-X)]/[ω(G-X)]:XV(G),且ω(G-X)〉1}. In this paper, we obtain the maximum network with a prescribed order and tenacity and give a method for constructing such networks.
出处 《工程数学学报》 CSCD 北大核心 2008年第1期138-142,共5页 Chinese Journal of Engineering Mathematics
基金 The science foundation of the Ministry of Education (206156)
关键词 粘连度 最大网络 非线性整数规划 the tenacity maximum network nonlinear integer programming
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参考文献4

  • 1Bondy J A, Murty U S R. Graph Theory and Applications[M]. London: Macmillan, 1976.
  • 2Cozzen M, Moazzami D, Stueckle S. The tenacity of a graPhiC]// Proc. Seventh International Conference on the Theory and Applications of Graphs. NY: Wilev. 1995:1111-1122.
  • 3Choudum S A, Priya N. Tenacity of complete graph products and grids[J]. Networks, 1999, 34:192-196.
  • 4Han X L. Some vulnerability parameters of graphs[R]. Master Thesis of Northwestern Polytechnical University, 1991:25-26.

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