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一个特殊本原有向图的m-competition指数

Them-competition index of a special primitive digraph
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摘要 研究一个含有1个n-2圈和3个n-3圈的n阶本原有向图.通过分析本原图中任一点经过k长的途径所到达的顶点的集合,利用m-competition指数定义,确定了本原图的m-competition指数. A primitive digraph of order n with one(n-2)-cycle and three(n-3)-cycles was discussed.By analysing the sets of vertexes,which are formed by each vertex passing a walk of lengthk in the primitive digraph and according to the definition of m-competition index,the m-competition index of the primitive digraph was obtained.
机构地区 中北大学理学院
出处 《高师理科学刊》 2015年第3期7-10,共4页 Journal of Science of Teachers'College and University
基金 国家自然科学基金资助项目(11071227)
关键词 途径 本原有向图 m-competition指数 walk primitive digraph m-competition index
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参考文献5

  • 1Liu B L,Huang Y F.The scrambling index of primitive digraphs[J].Computers and Mathematics with Applications,2010,60(3):706-721.
  • 2Kim H K.Generalized competition index of a primitive digraph[J].Linear Algebra and its Applications,2010,433(1):72-79.
  • 3Brualdi R A,Ryser H J.Combinatorial Matrix Theory[M].Cambridge:Cambridge University Press,1991.
  • 4Shao Y L,Gao Y B.The m-competition indices of symmetric primitive digraphs with loop[J].Ars Combination,2013,108:217-223.
  • 5Kim H K,Lee S H.Generalized competition indices of symmetric primitive digraphs[J].Discrete Applied Mathematics,2012,160(10):1583-1590.

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