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Global Rank Axioms for Poset Matroids 被引量：3

Global Rank Axioms for Poset Matroids
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摘要 An excellent introduction to the topic of poset matroids is due to Barnabei, Nicoletti and Pezzoli. In this paper, we investigate the rank axioms for poset matroids; thereby we can characterize poset matroids in a “global” version and a “pseudo-global” version. Some corresponding properties of combinatorial schemes are also obtained. An excellent introduction to the topic of poset matroids is due to Barnabei, Nicoletti and Pezzoli. In this paper, we investigate the rank axioms for poset matroids; thereby we can characterize poset matroids in a “global” version and a “pseudo-global” version. Some corresponding properties of combinatorial schemes are also obtained.
作者 ShuChaoLI YanQinFENG
机构地区 DepartmentofMathematics DepartmentofMathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第3期507-514,共8页 数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China (Granted No.103710438) Education Ministry of China (Granted No.02139)
关键词 Poset matroids Rank function Combinatorial scheme Distributive lattice Poset matroids Rank function Combinatorial scheme Distributive lattice
分类号 O151.21 [理学—基础数学]
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参考文献7

  • 1Barnabei, M., Nicoletti, G., Pezzoli, L.: Matroids on partially ordered sets. Adv. in Appl. Math., 21(1),78-112 (1998).
  • 2Welsh, D. J. A.: Matroid Theory, London, Academic Press, 1976.
  • 3Birkhoff, G. D.: Lattice Theory. 3rd Ed., Colloquium Publication 25, American Mathematical Society,Providence, RI, 1967.
  • 4Li, S. C.: Rank function for poset matroids. Bulletin of the Institute of Mathematics Academia Sinica,31(4), 257-272 (2003).
  • 5Li,S.C., Li, W. D.: Bases and circuits for poset matroids. J. of Lanzhou University, 37(6), 12-16 (2001).
  • 6Rota. G. C.:Report on the present state of combinatorics, Discrte Math., 153(1-3), 289-303 (1996).
  • 7Barnabei, M., Nicoletti, G.Pezzoli, L.: Symmetric property for poset matroids. Adv. Math., 102(2),230-239 (1993).

同被引文献18

  • 1LIShuchao,FENGYanqin.CLOSURE AXIOMS FOR POSET MATROIDS[J].Journal of Systems Science & Complexity,2004,17(3):377-386. 被引量：2
  • 2刘桂真 陈庆华.拟阵[M].长沙：国防科技大学出版社,1995..
  • 3赖虹建(LaiHongjian).拟阵论(Matroid Theory)[M].北京:高等教育出版社(Beijing:Higher Education Press),2002..
  • 4Barnabei M, Nicoletti G, Pezzoli L. Matroids on partially ordered set[J]. Adv in Appl Math, 1998,21(1):78-112.
  • 5Barnabei M, Nicoletti G, Pezzoli L. The symmetric exchange property for poset matroids[J]. Adv in Math, 1993,102:230-239.
  • 6Korte B, Lovasz L, Schrader R. Greedoids[M]. Berlin Heidelberg: Springer-Verlag,1991.
  • 7Li Shuchao, Feng Yanqing. Rank function for poset matroids[J]. Bulletin of Institute of Mathetics Academia Sinic,2003,54:257-272.
  • 8Davery B A, Priestley H A. Introduction to Lattice and Order[M]. Cambridge: Cambridge University Press,1990.
  • 9Mao Hua, Liu Sanyang. The direct sum, union and intersection of poset martoids[J]. Soochow J Math, 2002,28(4):247-355.
  • 10刘桂真 陈庆华(LiuGuizhen ChenQinghua).拟阵(Matroid)[M].长沙:国防科技大学出版社(Changsh:National University of Defense Technology Press),1995..

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Acta Mathematica Sinica,English Series
2004年 第3期

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