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一类只有3个圈的本原双色有向图 被引量:2

A Class of Primitive Two-colored Directed Graphs with Three Cycles
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摘要 研究了只有三个圈的双色有向图,并给出了这类双色有向图是本原的充分必要条件。 In this paper ,we discuss two-colored directed graphs with only three cycles and show necessary and sufficient conditions for these graphs to be primitive.
出处 《太原科技大学学报》 2007年第5期415-416,共2页 Journal of Taiyuan University of Science and Technology
基金 国家自然科学基金(10471081)
关键词 双色有向图 有向图 本原矩阵 Two-colored digraphs, directed graphs, primitive matrices
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参考文献3

  • 1FORNASINI 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.
  • 2JORGEN B J,GREGORY G.Digraphs theory,algorithms and applications[M].London:Springer-Verlag,2001.
  • 3SHADER B L,SUWILO S.Exponents of nonnegative matrix pairs[J].Linear Algebra and its Applications,2003,363:275-293.

同被引文献7

  • 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
  • 2Fornasini E,Valcher M E. Directed graphs 2D state model and characteristic polynomials of irreducible matrix pairs[J]. Linear Algebra and its Applications, 1997,263 ( 1-3):275 - 310.
  • 3Olesky D D, Shader B, Driessche P V. Exponents of tuples of nonnegative matrices[J]. Linear Algebra and its Applications,2002,356(1-3) : 123-134.
  • 4Jorgen B J, Gregory G. Digraphs Theory, Algorithms and Applications[M]. London: Springer-Verlag, 2001.
  • 5[2]Jorgen B J,Gregory G.Digraphs:Theory,algorithms and applications[M].London:Springer-Verlag,2001
  • 6[3]Shader B L,Suwilo S.Exponents of nonnegative matrix pairs[J].Linear Algebra and its Applications,2003(363):275-293
  • 7原军,林上为,郭继文,王世英.一类本原双色有向图[J].山西大学学报(自然科学版),2007,30(3):318-321. 被引量:1

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