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一个本原有向图D的scrambling指数及广义scrambling指数

The Scrambling Index and Generalized Scrambling Indices of a Primitive Digraph
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摘要 对含有4个圈(1个n-2圈,2个n-3圈,1个n-4圈)的n阶本原有向图D的scrambling指数和广义scrambling指数进行研究.通过分析图的特点,结合图论原理并根据本原有向图scrambling指数和广义scrambling指数的定义,利用集合的运算得到了该图的scrambling指数和广义scrambling指数. The scrambling index and generalized scrambling indices of a primitive digraph of ordern,which contains four cycles(one cycle of length n-2,two cycles of length n-3,one cycle of length n-4),are studied.By the analysis of the characteristics of the digraph,combing with the knowledge of graph theory and according to the definition of scrambling index and generalized scrambling indices,finally the scrambling index and generalized scrambling indices through the set operations are given.
作者 甄琳 雷英杰
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)》 2014年第1期1-4,共4页 Journal of Taiyuan Normal University:Natural Science Edition
基金 国家自然科学基金(11071227)
关键词 本原有向图 SCRAMBLING指数 广义scrambling指数 集合 primitive digraph scrambling index generalized scrambling indices set
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参考文献4

  • 1Mahmud Akelbek,Steve Kirkland. Coefficients of ergodicity and the scrambling index[J]. Linear Algebra and its Applica tions,2009,430 : 1111-1130.
  • 2Mahmud Akelbek,Steve Kirkland. Primitive digraphs with the largest scrambling index[J]. Linear Algebra and its Applications, 2009,430 : 1099-1110.
  • 3Bolian Liu,Yufei Huang. The scrambling index of primitive digraphs[J]. Coputers and Mathematics with Applications,2010, 60:706-721.
  • 4Yufei Huang,Bolian Liu. Generalized scrambling indices of a primitive digraph[J]. Linear Algebra and its Applications, 2010, 433:1798-1808.

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