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2-Competition Index of Primitive Digraphs Using Graph Theory

ISSN号：1007-4414
期刊名称：《机械研究与应用》
时间：0
分类：O157.5[理学—数学;理学—基础数学] S791.248[农业科学—林木遗传育种;农业科学—林学]
作者机构：[1]School ofInstrument and Electronic, North University of China, Taiyuan 030051, China, [2]Department of Mathematics, North University of China, Taiyuan 030051, China, [3]Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30302, USA
相关基金：National Natural Science Foundations of China（No.11272100,No.50865001）

关键词：竞争指数, 有向图, 图论, 食物链, 矩阵和, 指数和, 索引, 指数集, 2-competition index primitive digraphs minimally strong digraphs

中文摘要：

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.

英文摘要：

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.

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