Title

Laminar matroids

Document Type

Article

Publication Date

5-1-2017

Abstract

A laminar family is a collection A of subsets of a set E such that, for any two intersecting sets, one is contained in the other. For a capacity function c on A, let I be {I:|I∩A|≤c(A) for all A∈A}. Then I is the collection of independent sets of a (laminar) matroid on E. We present a method of compacting laminar presentations, characterize the class of laminar matroids by their excluded minors, present a way to construct all laminar matroids using basic operations, and compare the class of laminar matroids to other well-known classes of matroids.

Publication Source (Journal or Book title)

European Journal of Combinatorics

First Page

206

Last Page

216

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