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一类双色有向图的本原指数集 被引量：6

The Primitive Exponent Set of a Class of Two-Colored Digraphs
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摘要 研究了一类双色有向图的本原指数集,它的未着色图中包含3n+1个顶点,一个(2n+3)-圈和一个(n+1)-圈. In this paper, we give the exponent set of a class of two-colored digraphs whose uncolored digraph has 3n＋ 1 vertices and consists of one （2n＋3）-cycle and one （n＋ 1）-cycle.
作者 罗美金
机构地区 河池学院数学系
出处 《数学的实践与认识》 CSCD 北大核心 2012年第24期253-258,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(11071227) 广西自治区教育厅项目(201010LX468) 河池学院项目(2010A-N004)
关键词 图 双色图 本原 指数集 digrap two-colored digraph primitive the exponent set
分类号 O157.5 [理学—基础数学]
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参考文献8

二级参考文献11

  • 1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
  • 2岳喜尚,高玉斌.一类特殊双色有向图的本原指数集[J].太原科技大学学报,2006,27(6):481-485. 被引量：2
  • 3SHADER. B L, SUWILO S. Exponents of nonnegative matrix pairs[J]. Linear Algebra Appl, 2003, 363:275-293.
  • 4FORNASINI E, VALCHER M. On the spectral and combinatorial structure of 2D positive systems[J]. Linear Algebra Appl,1996,245:223-258.
  • 5FORNASINI E, VALCHER M. Directed graphs 2D state models and characteristic polynomials of irreducible matrix pairs[J].Linear Algebra Appl, 1997,263:275-310.
  • 6FORNASINI 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.
  • 7BERMAN A, PLEMMONS R. Nonnegative Matrices in the Mathematical Sciences( Classics in Applied Mathematics, Vol. 9)[M]Philadelphia, PA:SIAM. 1994.
  • 8SHADER B L,SUWILO S.Exponents of nonnegative matrixpairs[J].Linear Algebra Appl,2003,363:275-293.
  • 9SHAO Yanling,GAO Yubin,SUN Liang.Exponent of a class of two-colored digraphs[J].Linear and Multilinear Algrbra,2005,53(3):175-188.
  • 10GAO Yubin,SHAO Yanling.Exponent of two-colored digraphswith two cycles[J].Linear Algebra Appl,2005,407:263-276.

共引文献45

同被引文献27

  • 1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
  • 2Brualdi R A,Ryser H J. Combinatorial Matrix Theory [J]. Cambridge:Cambridge University Press,1991.
  • 3Shader B L,Suwilo S. Exponents of nonnegative matrix pairs [J]. Linear Algebra Appl,2003,363 :275-293.
  • 4GAO Yu-bin,SHAO Yan-ling. Exponent of two-colored digraphs with two cycles [J]. Linear Algebra Appl,2005 ,407:263-276.
  • 5SHAO Yan-ling, GAO Yu-bin, SUN Liang. Exponent of a class of two-colored digraphs [J]. Linear and MultilinearAlgrbra,2005,53(3) :175-188.
  • 6BAI Zhu-xiang,SHAO Yan-ling. Exponents of a class of two-colored digraphs [J]. Journal of Shanxi University:NaturalScience Eduation,2007,30( 1) : 19-23.
  • 7B L Shader,S Suwilo.Exponents of nonnegative matrix pairs[J].Linear Algebra Appl,2003,363:275-293.
  • 8SHAO Yan-ling,GAO Yu-bin,SUN Liang.Exponent of a class of two-colored digraphs[J].Linear and Multilinear Algebra,2005,53(3):175-188.
  • 9Shader B L, Suwilo S. Exponents of nonnegative matrix pairs [J ]. Linear Algebra and Its Applications,2003,363:275-293.
  • 10Shao Yanling, Gao Yubin, Sun Liang. Exponents of a class of two-colored digraphs[ J ]. Linear and Multilinear Algrbra, 2005,53 (3): 175 - 188.

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数学的实践与认识
2012年 第24期

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