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2-Competition Index of Primitive Digraphs Using Graph Theory 被引量：3

2-Competition Index of Primitive Digraphs Using Graph Theory
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摘要 Recently,scrambling index and competition index are widely applied to stochastic matrices and food webs. By analyzing the relationship of scrambling index and 2-competition index,n-「d/2」+ 1 was proved to be an upper bound of the 2-competition2 index of a primitive digraph with exact d loops in this article.Moreover,the maximum index problem and the index set problem for the 2-competition index of primitive digraphs with minimally strong digraphs were settled. Recently,scrambling index and competition index are widely applied to stochastic matrices and food webs. By analyzing the relationship of scrambling index and 2-competition index,n-「d/2」＋ 1 was proved to be an upper bound of the 2-competition2 index of a primitive digraph with exact d loops in this article.Moreover,the maximum index problem and the index set problem for the 2-competition index of primitive digraphs with minimally strong digraphs were settled.
作者 方炜 高玉斌 李忠善
机构地区 School of Instrument and Electronic Department of Mathematics Department of Mathematics and Statistics
出处 《Journal of Donghua University(English Edition)》 EI CAS 2014年第3期320-324,共5页 东华大学学报（英文版）
基金 National Natural Science Foundations of China(No.11272100,No.50865001)
关键词 2-competition index primitive digraphs minimally strong digraphs 竞争指数 有向图 图论 食物链 矩阵和 指数和 索引 指数集
分类号 O157.5 [理学—基础数学] S791.248 [农业科学—林木遗传育种]
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参考文献12

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同被引文献40

  • 1Ben-Israel A,Greville T N E.Generalized Inverses:Theory and Applications[M].2nd ed,New York:Springer,2003.
  • 2Bapat R B.Graphs and Matrices[M].London/New Delhi:Springer/Hindustan Book Agency,2010.
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  • 9Yang Y J,Klein D J.A Recursion Formula for Resistance Distances and Its Applications[J].Discrete Applied Mathematics,2013,161(16/17):2702-2715.
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引证文献3

Journal of Donghua University(English Edition)
2014年 第3期

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