Posets and Closure Operators Relative to Matroids

Authors

  • Mao Hua
  • Liu Sanyang

DOI:

https://doi.org/10.11113/matematika.v28.n.317

Abstract

Using the closure operator axioms for a matroid presented here, for all the matroids defined on the same ground set E, two posets are provided: one is consisted by the system of the closure operators of all these matroids; another is instructed by the system of all these matorids. Additionally, when the set E is finite, by graph theory, two different skecthes to search out all the matroids defined on E are given. Keywords: Poset; matroid; closure operator; Moore family. 2010 Mathematics Subject Classification: 05B35; 06A06

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Published

01-06-2012

Issue

Volume 28 (June 2012)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Posets and Closure Operators Relative to Matroids. (2012). MATEMATIKA, 28, 77-85. https://doi.org/10.11113/matematika.v28.n.317