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图是λ_3-最优的最小度条件 被引量:4

A MINIMUM DEGREE CONDITION FOR GRAPHS TO BE λ_3-OPTIMAL
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摘要 为精确估计网络的可靠度,我们需要最优化其图模型的限制边连通度.本文证明了一个n阶连通图,当n≥10且最小度至少为﹂n/2」-2时,在一定的条件下这个图是λ3-最优的,并举例说明了这些条件的下界是最好可能的. In order to estimate the security of network more accurately, we need optimize the restricted edge connectivity of the graph model. In this artical we prove that for a connected graph of order n ≥10, if the minimum degree of the graph is at least [ n/2]- 2 then the graph is λ3-optimal in another condition;Some examples are given to show that the bounds of these conditions are best possible.
出处 《山东师范大学学报(自然科学版)》 CAS 2008年第2期1-3,共3页 Journal of Shandong Normal University(Natural Science)
关键词 三阶限制边连通度 λ3-最优性 graph 3 - restricted edge - connectivity λ3- optimal
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参考文献9

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二级参考文献13

共引文献10

同被引文献25

  • 1高敬振,陈亮.图是λ4-最优的一个充分条件[J].山东师范大学学报(自然科学版),2009,24(2):7-9. 被引量:1
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