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一个特殊本原有向图的广义competition及scrambling指数

Generalized competition indices of two special primitive digraphs
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摘要 根据图论和数论的相关知识,对本原有向图中每一点经过k长途径所到达点的集合进行了分析,进而得出一个特殊的本原有向图的广义competition指数以及该图的广义scrambling指数。 Based on the related knowledge of graph theory and the number theory, and by analyzing the vertex set of each vertex in digraph can be reached by a walk of length k, generalized competition indices and generalized scrambling indices of one special primitive digraph are given.
作者 张佩 高玉斌
机构地区 中北大学数学系
出处 《湖南文理学院学报(自然科学版)》 CAS 2015年第1期4-8,共5页 Journal of Hunan University of Arts and Science(Science and Technology)
基金 山西省回国留学人员科研资助项目(12–070)
关键词 有向图 本原指数 SCRAMBLING指数 广义competition指数 digraph exponent scrambling index generalized competition index
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参考文献6

  • 1Hwa Kyung Kim,Sung Gi Park.A bound of generalized competition index of a primitive digraph[J]. Linear Algebra and Its Applications . 2011 (1)
  • 2Yufei Huang,Bolian Liu.Generalized scrambling indices of a primitive digraph[J]. Linear Algebra and Its Applications . 2010 (11)
  • 3Hwa Kyung Kim.Generalized competition index of a primitive digraph[J]. Linear Algebra and Its Applications . 2010 (1)
  • 4Bolian Liu,Yufei Huang.The scrambling index of primitive digraphs[J]. Computers and Mathematics with Applications . 2010 (3)
  • 5Mahmud Akelbek,Steve Kirkland.Coefficients of ergodicity and the scrambling index[J]. Linear Algebra and Its Applications . 2008 (4)
  • 6Brualdi R A,Ryser H J.Combinatorial Matrix Theory. Journal of Women s Health . 1991

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