On binary identically self-dual matroids
type: Item
instance of: scholarly article
title: On binary identically self-dual matroids
zbMATH Open document ID: 0535.05019
DOI: 10.1016/S0195-6698(84)80019-0
author: Bernt Lindström
published in: European Journal of Combinatorics
publication date: 1984-01-01T00:00:00Z
review text: A matroid is identically self-dual when its set of bases is identical with its set of co-bases. The author proves that the only connected regular identically self-dual matroid is the uniform matroid of rank 1 on two points. He improves the known lower bound for the number of bases in an identically self-dual matroid. Also, new, simpler, more elegant proofs are given for some known results concerning binary identically self-dual matroids.
reviewed by: Jack E. Graver
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 3849247
zbMATH Keywords: identically self-dual matroid
zbMATH Keywords: uniform matroid
MaRDI profile type: Publication
cites work: Q3050437
cites work: SOME RESULTS ON TRANSVERSAL MATROIDS AND CONSTRUCTIONS FOR IDENTICALLY SELF-DUAL MATROIDS
cites work: Boolean designs and self-dual matroids
cites work: Lectures on matroids
cites work: Q4111952
full work available at URL: s0195-6698(84)80019-0
OpenAlex ID: W2082946599
description: scientific article; zbMATH DE number 3849247