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

2012-06-01

Issue

Section

Mathematics