| New Results on Global Rank Axioms of Poset Matroids |
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| 作者姓名： | ShuChaoLI YanQinFENG |
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| 作者单位： | [1]LaboratoryofNonlinearAnalysis,DepartmentofMathematics,CentralChinaNormalUniversity,Wuhan430079,P.R.China／／DepartmentofControlScienceandEngineering,HuazhongUniversityofScienceandTechnology,Wuhan430074,P.R.China [2]DepartmentofMathematics,NanjingUniversity,Nanjing210093,P.R.China |
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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. On the basis of their work, we have obtained the global rank axioms for poset matroids.In this paper, we study the special integral function f and obtain a new class of poset matroids from the old ones, and then we generalize this result according to the properties of f. Almost all of these results can be regarded as the application of global rank axioms for poset matroids. The main results in our paper have, indeed, investigated the restriction of the basis of the poset matroid, and we give them the corresponding geometric interpretation.
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| 关 键 词： | 全局秩公理 秩函数 导数方程 拟阵 组合模式 |
| 收稿时间： | 23 January 2002 |
New Results on Global Rank Axioms of Poset Matroids |
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| ShuChaoLI YanQinFENG.New Results on Global Rank Axioms of Poset Matroids[J].Acta Mathematica Sinica,2005,21(1):143-154. |
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| Authors: | Shu Chao Li Yan Qin Feng |
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| Institution: | (1) Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, P. R. China;(2) Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China;(3) Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China |
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| Abstract: | An excellent introduction to the topic of poset matroids is due to M. Barnabei, G. Nicoletti
and L. Pezzoli. On the basis of their work, we have obtained the global rank axioms for poset matroids.
In this paper, we study the special integral function f and obtain a new class of poset matroids from
the old ones, and then we generalize this result according to the properties of f. Almost all of these
results can be regarded as the application of global rank axioms for poset matroids. The main results
in our paper have, indeed, investigated the restriction of the basis of the poset matroid, and we give
them the corresponding geometric interpretation.
Supported partially by the National Natural Science Foundation of China (Grant No. 10371048) |
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| Keywords: | Poset matroids Rank function Derivative function Combinatorial schemes |
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