CLOSURE AXIOMS FOR POSET MATROIDS

Shu Chao LI;Yan Qin FENG

系统科学与复杂性(英文) ›› 2004, Vol. 17 ›› Issue (3) : 377-386.

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系统科学与复杂性(英文) ›› 2004, Vol. 17 ›› Issue (3) : 377-386.
论文

CLOSURE AXIOMS FOR POSET MATROIDS

    Shu Chao LI(1), Yan Qin FENG(2)
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CLOSURE AXIOMS FOR POSET MATROIDS

    Shu Chao LI(1), Yan Qin FENG(2)
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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.

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.

关键词

Partially ordered set / matroid / combinato

Key words

Partially ordered set / matroid / combinatorial scheme / closure operator

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Shu Chao LI , Yan Qin FENG. CLOSURE AXIOMS FOR POSET MATROIDS. 系统科学与复杂性(英文), 2004, 17(3): 377-386
Shu Chao LI , Yan Qin FENG. CLOSURE AXIOMS FOR POSET MATROIDS. Journal of Systems Science and Complexity, 2004, 17(3): 377-386
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