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CLOSURE AXIOMS FOR POSET MATROIDS

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【Author】 LI Shuchao(Department of Mathematics, Central China Normal University, Wuhan 430079; Department of Control Science and Engineering, HUST, Wuhan 430074, China) FENG Yanqin(Department of Mathematics, Nanjing University, Nanjing 210093, China)

【摘要】 <正> An excellent introduction to the topic of poset matroids is due to M. Barnabei, G. Nicoletti and L. Pezzoli. In this paper, we extensively study the closure operators of poset matroids and obtain the closure axioms for poset matroids; thereby we can characterize poset matroids in terms of the closure axioms. Some corresponding properties of combinatorial schemes are also obtained.更多还原

【Abstract】 An excellent introduction to the topic of poset matroids is due to M. Barnabei, G. Nicoletti and L. Pezzoli. In this paper, we extensively study the closure operators of poset matroids and obtain the closure axioms for poset matroids; thereby we can characterize poset matroids in terms of the closure axioms. Some corresponding properties of combinatorial schemes are also obtained.更多还原

【关键词】 Partially ordered set； matroid； combinatorial scheme； closure operator；
【Key words】 Partially ordered set； matroid； combinatorial scheme； closure operator；

【基金】 This research is supported partially by Education Ministry of China (No. 02139) ; by National Science Foundation of China(No. 10471038).

【文献出处】 Journal of Systems Science and Complexity ,系统科学与复杂性学报(英文版) , 编辑部邮箱 ,2004年03期

【分类号】O177
【被引频次】2
【下载频次】22

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