| CLOSURE AXIOMS FOR POSET MATROIDS |
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| 作者姓名： | LIShuchao FENGYanqin |
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| 作者单位： | 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) |
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| 基金项目： | This research is supported partially by Education Ministry of China (No. 02139)，by National Science Foundation of China(No. 10471038). |
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| 摘 要： | 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.
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| 关 键 词： | 部分有序集 矩阵胚 组合方案 关闭算子 |
CLOSURE AXIOMS FOR POSET MATROIDS |
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| LIShuchao FENGYanqin.CLOSURE AXIOMS FOR POSET MATROIDS[J].Journal of Systems Science and Complexity,2004,17(3):377-386. |
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| Authors: | LI Shuchao |
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| 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. |
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| Keywords: | Partially ordered set matroid combinatorial scheme closure operator |
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