The Relationships Between Posets and Independent Sets of a Matroid of Arbitrary Cardinality


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Authors

  • Hua Mao

Keywords:

matroid of arbitrary cardinality, independent set, poset, Boolean lattice

Abstract

By constructing the correspondent relationship between matroids of arbitrary cardinality and posets, under isomorphism, this paper characterizes matroids of arbitrary cardinality without loops. Utilizing this characterization, it realizes the translation of some results from posets to matroid of arbitrary cardinality frameworks. At last, we give the conclusion.

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Published

2015-03-30

How to Cite

Mao, H. (2015). The Relationships Between Posets and Independent Sets of a Matroid of Arbitrary Cardinality. Eurasian Mathematical Journal, 6(1), 56–64. Retrieved from https://emj.enu.kz/index.php/main/article/view/597

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Section

Articles