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本原极小强连通有向图的重下scrambling指数

Lower Scrambling Indices of Primitive Minimally Strong Digraphs
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摘要 利用图论、数论的相关知识,分析了图中每一点经过t长途径所到达的点的集合,再结合scrambling指数和重下scrambling指数的定义刻画了本原极小强连通有向图的重下scrambling指数的界. On the basis of graph theory and number theory, we analyse the vertices set of each vertices which can be reached by a walk of length t in digraph. And by using the definitions of the scrambling index and the lower scrambling indices, we investigate the bounds of the lower scrambling indices of the primitive minimally strong digraphs.
机构地区 中北大学数学系
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第6期8-11,共4页 Journal of Henan Normal University(Natural Science Edition)
基金 国家自然科学基金(11071227) 山西省回国留学人员科研资助项目
关键词 SCRAMBLING指数 重下scrambling指数 本原有向图 途径 scrambling index lower scrambling indices primitive digraph walk bound
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参考文献6

  • 1Liu Bolian,Huang Yufei.The scrambling index of primitive digraphs[J].Computers Mathematics with Applications,2010,60:706-721.
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  • 3Brualdi R A,Liu Bolian.Generalized exponents of primitive directed digraphs[J].J Graph Theory,1990,14:483-499.
  • 4Liu Bolian.Generalized exponents of Boolean matrices[J].Linear Algebra Appl,2003,373:169-182.
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  • 6Huang Yufei,Liu Bolian.Generalized scrambling indices of a primitive digraph[J].Linear Algebra Appl,2010,433:1798-1808.

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