Title of article
Posets and Closure Operators Relative to Matroids
Author/Authors
Mao, Hua Hebei University - Department of Mathematics, China , Liu, Sanyang Xidian University - Department of Mathematics, China
From page
77
To page
85
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
Journal title
Matematika
Journal title
Matematika
Record number
2570110
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