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

How to Cite

Hua, M., & Sanyang, L. (2012). Posets and Closure Operators Relative to Matroids. MATEMATIKA, 28, 77–85. https://doi.org/10.11113/matematika.v28.n.317

Issue

Volume 28 (June 2012)

Section

Mathematics

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.