期刊文献+

一类双色有向图的本原指数的上界

The Tight Upper Bound on the Exponents of a Class of Two-colored Digraphs
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摘要 本文通过对一类含有3个圈的双色有向图进行着色,研究了各种着色情况下的本原性及本原指数,得到了本原指数的紧的上界. By coloring a special two-colored digraphs whose uncoloed digraph consists of 3 cycles,we discuss their primitive and exponent and get the tight upper bound on the exponents.
出处 《山西师范大学学报(自然科学版)》 2010年第4期4-7,共4页 Journal of Shanxi Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(60773131) 山西省自然科学基金项目(2008011010)
关键词 本原指数 双色有向图 圈矩阵 primitive exponent two-colored digraph cycle matrix
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参考文献5

  • 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
  • 2Shader B L,Suwilo S.Exponents of nonegative matrix pairs[J].Linear Algebra and its Applications,2003,(363):275-293.
  • 3邵燕灵,高玉斌.On the exponents of two-colored digraphs with two cycles[J].Linear and Multilinear Algebra,2009,(57):185-199.
  • 4邵燕灵,高玉斌,孙良.Exponents of a class of two-colored digraphs[J].Linear and Multilinear Algebra,2005,(53):175-188.
  • 5Bolian Liu.The period and base of a reducible sign pattern matrix[J].Discrete Mathematics,2007,(307):3031-3049.

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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