A Characterization of Uniform Matroids-Reference-Cited by-同舟云学术

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A Characterization of Uniform Matroids

Published:2011-12-01 Issue: Volume:2011 Page:1-4
ISSN:2090-6285
Container-title:ISRN Algebra
language:en
Short-container-title:ISRN Algebra

Author:

Chaourar Brahim¹

Affiliation:

1. Sciences College, Al Imam Muhammad Ibn Saud Islamic University, P.O. Box 286574, Riyadh 11323, Saudi Arabia

Abstract

This paper gives a characterization of uniform matroids by means of locked subsets. Locked subsets are 2-connected subsets, their complements are 2-connected in the dual, and the minimum rank of both is 2. Locked subsets give the nontrivial facets of the bases polytope.

Funder

Al Imam Muhammad Bin Saud University

Publisher

Hindawi Limited

Subject

Industrial and Manufacturing Engineering,Polymers and Plastics,History,Business and International Management

Link

http://downloads.hindawi.com/archive/2011/208478.pdf

Reference4 articles.

1. Oxford Science Publications,1992

2. Wiley-Interscience Series in Discrete Mathematics,1986

3. On Greedy Bases Packing in Matroids

4. On the th best base of a matroid

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The facets of the spanning trees polytope;Mathematical Methods of Operations Research;2022-05-25

2. A short proof of a min–max relation for the bases packing of a matroid;Discrete Mathematics, Algorithms and Applications;2019-12

3. Toric ideals of series and parallel connections of matroids;Journal of Algebra and Its Applications;2016-03-30

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