Cyclic flats of binary matroids

被引：4

作者：

Freij-Hollanti, Ragnar ^{[1
]}

Grezet, Matthias ^{[1
]}

Hollanti, Camilla ^{[1
]}

Westerback, Thomas ^{[2
]}

机构：

[1] Aalto Univ, Dept Math & Syst Anal, FI-00076 Aalto, Finland

[2] Malardalen Univ, Div Appl Math, UKK, Hgsk Plan 1,Box 883, S-72129 Vasteras, Sweden

来源：

ADVANCES IN APPLIED MATHEMATICS | 2021年 / 127卷

基金：

芬兰科学院;

关键词：

Cyclic flats; Binary matroids; Atomic lattices;

D O I：

10.1016/j.aam.2021.102165

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, first steps are taken towards characterizing rank-decorated lattices of cyclic flats Z(M) that belong to matroids M that can be represented over a prescribed finite field F-q. Two natural maps from Z(M) to the lattice of cyclic flats of a minor of M are given. Binary matroids are characterized via their lattice of cyclic flats. It is shown that the lattice of cyclic flats of a simple binary matroid without isthmuses is atomic. (C) 2021 The Author(s). Published by Elsevier Inc.

引用

页数：47