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一个本原图的scrambling指数

The scrambling index of a primitive graph
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摘要 若存在非负整数k(k>0),D中的每一对顶点(u,v)都存在另一顶点w,使得从w到u和v都有长为k的途径,且这个k是所有满足上述条件中的最小的整数,就是D的scram-bling指数,记作k(D).文章给出了一个特殊的本原图的scrambling指数. If there is nonegative integer k(k0),the vertex(u,v) of D has another vertex,and the length between w and u is same with the length between w and v,and k is the smallest integer,so it is the scrambling index of D,marked k(D).In this paper,a new scrambling index of a special primitive graph was given.
机构地区 中北大学理学院
出处 《重庆文理学院学报(自然科学版)》 2011年第3期8-10,共3页 Journal of Chongqing University of Arts and Sciences
基金 山西省自然科学基金资助项目(2008011009)
关键词 本原图 对称图 SCRAMBLING指数 primitive graph symmetric graphs scrambling index
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参考文献5

  • 1Shao Jiayu. On the exponent of a primitive digraph[ J]. Linear Algebra Appl. ,1985(64) :21 - 31.
  • 2Shao Jiayu, Li Bin. The set of generalized exponents of primitive simple graphs [ J ]. Linear Algebra Appl. , 1997 ( 258 ) : 95 - 127.
  • 3Akelbek M, Kirkland S. Coe + cients of ergodicity and the scrambling index [J].Linear Algebra Appl. , 2009 (430) :1111-1130.
  • 4Chen She xi, Liu Bo lian. The scrambling index of symmetric primitive matrices [ J ]. Linear Algebra Appl. , 2009(433) :1110 - 1126.
  • 5Liu Bo lian, Huang Yu fei. The scrambling index of primitive digraphs [ J ]. Computers and Mathematics with Applications, 2010 (60) :706 - 721.

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