Title

Internally 4-Connected Binary Matroids with Every Element in Three Triangles

Document Type

Article

Publication Date

8-1-2019

Abstract

Let M be an internally 4-connected binary matroid with every element in exactly three triangles. Then M has at least four elements e such that si(M/e) is internally 4-connected. This technical result is a crucial ingredient in Abdi and Guenin’s theorem determining the minimally non-ideal binary clutters that have a triangle.

Publication Source (Journal or Book title)

Combinatorica

First Page

825

Last Page

845

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