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Excluded minors for the class of split matroids

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posted on 2021-12-01, 19:41 authored by A Cameron, Dillon Mayhew
Split matroids form a minor-closed class of matroids, and are defined by placing conditions on the system of split hyperplanes in the matroid base polytope. They can equivalently be defined in terms of structural properties involving cyclic flats. We confirm a conjecture of Joswig and Schröter by proving an excluded-minor characterisation of the class of split matroids.

History

Preferred citation

Cameron, A. & Mayhew, D. (2021). Excluded minors for the class of split matroids. Australasian Journal of Combinatorics, 79, 195-204. http://arxiv.org/abs/1707.02239v5

Journal title

Australasian Journal of Combinatorics

Volume

79

Publication date

2021-01-01

Pagination

195-204

Publication status

Published

ISSN

1034-4942

eISSN

2202-3518