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含环三圈双色有向图的本原指数 被引量:1

Primitive Exponents of Two-colored Digraphs with Three Loops
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摘要 考虑了一类特殊的双色有向图,它的未着色图含有n个顶点,且包含一个n圈和两个(n 1)圈,在每个顶点上有环.给出了本原条件和指数上界. A special two-colored digraphs are considered,whose uncolored digraph has n vertices and consists of one n-cycle and two-cycles.There are loops on every vertex.The primitive conditions and the upper bounds are given.
作者 周栋 邵燕灵
机构地区 中北大学理学院
出处 《新乡学院学报》 2012年第1期8-10,17,共4页 Journal of Xinxiang University
基金 国家自然科学基金项目(11071227)
关键词 本原指数 双色有向图 本原条件 primitive exponent loop two-colored digraph primitive condition
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参考文献4

  • 1SHADER B L,SUWILO S.Exponents of Nonnegative Matrix Pairs[J].Linear Algebra Appl,2003,363:275-293.
  • 2高玉斌,邵燕灵.双色双向圈的本原指数(英文)[J].黑龙江大学自然科学学报,2004,21(4):55-58. 被引量:39
  • 3GAO Yu-bin,SHAO Yan-ling.Exponent of Two-colored Digraphs with Two Cycles[J].Linear Algebra and itsApplications,2005,407:263-276.
  • 4GAO Yu-bin,SHAO Yan-ling.Bound on the Exponents of a Class of Two-colored Digraphs[J].ARS Combinatoria,2009,90:425-434.

二级参考文献5

  • 1SHADER. B L, SUWILO S. Exponents of nonnegative matrix pairs[J]. Linear Algebra Appl, 2003, 363:275-293.
  • 2FORNASINI E, VALCHER M. On the spectral and combinatorial structure of 2D positive systems[J]. Linear Algebra Appl,1996,245:223-258.
  • 3FORNASINI E, VALCHER M. Directed graphs 2D state models and characteristic polynomials of irreducible matrix pairs[J].Linear Algebra Appl, 1997,263:275-310.
  • 4FORNASINI E, VALCHER M. Primitivity of positive matrix pairs: algebraic characterization graph theoretic description and 2D systems interpretation[J]. SIAM J Matrix Anal Appl, 1998,19:71-88.
  • 5BERMAN A, PLEMMONS R. Nonnegative Matrices in the Mathematical Sciences( Classics in Applied Mathematics, Vol. 9)[M]Philadelphia, PA:SIAM. 1994.

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