期刊文献+

一类双色有向图的本原指数 被引量:1

Exponents of a Class of Two-colored Digraphs
下载PDF
导出
摘要 文章研究了一类具有n个顶点的双色有向图,它包含n个2-圈和2个3-圈,证明了这类双色有向图本原的充分必要条件,并给出了它的本原指数的上界. A class of two-colored digraphs with order n,n2-cycles and two 3-cycles are studied. We show some necessary and sufficient conditions for this class of two-colored digraphs to be primitive. Furthermore ,an upper bound of its primitive exponent is given.
作者 韩巍 王世英
出处 《太原师范学院学报(自然科学版)》 2008年第3期10-13,共4页 Journal of Taiyuan 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(2008011010)
关键词 双色有向图 本原指数 途径 two-colored digraph primitive exponent walk
  • 相关文献

参考文献4

二级参考文献8

  • 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.
  • 6FORNASINI E,VALCHER M E.Driected graphs 2D state model and characteristic polynomials of irreducible matrix pairs[J].Linear Algebra and its Applications,1977,263:275-310.
  • 7JORGEN B J,GREGORY G.Digraphs theory,algorithms and applications[M].London:Springer-Verlag,2001.
  • 8SHADER B L,SUWILO S.Exponents of nonnegative matrix pairs[J].Linear Algebra and its Applications,2003,363:275-293.

共引文献39

同被引文献2

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部