Trilateral matroids induced by n3-configurations

Michael W. Raney


We define a new class of a rank-3 matroid called a trilateral matroid. When defined, the ground set of such a matroid consists of the points of an n3-configuration, and its bases are the point triples corresponding to non-trilaterals within the configuration. We characterize which n3-configurations induce trilateral matroids and provide several examples.


Configurations, trilaterals, matroids

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ISSN: 1855-3974

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