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一个本原有向图的scrambling指数与不可幂定号有向图的基

The Scrambling Index of a Primitive Diagraph and the Base of Non-Powerful Signed Diagraph
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摘要 对一个含有三个圈且具有两个不同圈长的本原有向图进行研究.通过分析图的特点,运用集合的运算和不等式的运算,给出了此图的scrambling指数及以此图为基础图的不可幂定号有向图的基. A primitive diagraph with three circles which contains two different length are discussed. By analyzing the characteristics of the diagraph,and by using the operations of the sets and the operations of the inequalities,the scrambling index of this primitive diagraph and the base of non-powerful signed diagraph which is based on such a primitive diagraph are concluded.
机构地区 中北大学数学系
出处 《太原师范学院学报(自然科学版)》 2013年第4期12-15,共4页 Journal of Taiyuan Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(11071227) 山西省回国留学人员科研资助项目(2012-070)
关键词 本原有向图 SCRAMBLING指数 primitive diagraph scrambling index base circle
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参考文献9

  • 1Akelbek M, Kirkland S. Coefficients of ergodicity and the scrambling index[J]. Linear Algebra and its Applications, 2009, 430:1 111-1 130.
  • 2Gao Y, Huang Y, Shao Y. Bases of primitive non powerful signed symmetric digraphs with loops[J]. Ars Combinatoria, 2009, 90:383-388.
  • 3Wang L, Miao Z, Yan C. Local bases of primitive non-powerful signed digraphs[J]. Discrete Mathematics, 2009,309:748- 754.
  • 4You L,Shao J, Shan H. Bounds on the bases of irreducible generalized sign pattern matrices[J]. Linear Algebra and its Appli- cations, 2007,427 : 285-300.
  • 5Liu B, Huang Y. The scrambling index of primitive diagraphs[J]. Computers and Mathematics with Applications, 2010,60 : 706-721.
  • 6Li Z,Hall F,Eschenbaeh C. On the period and base of a sign pattern matrix[J]. Linear Algebra and its Applications, 1994, 212/213:101-120.
  • 7Liu B, You L. Bounds on the base of primitive nearly reducible sign pattern matrices[J]. Linear Algebra and its Applications, 2006,418:863 -881.
  • 8Shao Y,Gao Y. The local bases of primitive non-powerful signed symmetric digraphs with loops[J]. Ars Combinatoria, 2009, 90 : 357-369.
  • 9Akelbek M, Kirkland S. Primitive digraphs with the largest scrambling index[J]. Linear Algebra and its Applications, 2009, 430:1 099-1 110.

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