Trilateral matroids induced by n3-configurations

Michael W. Raney

Abstract


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.

Keywords


Configurations, trilaterals, matroids

Full Text:

PDF ABSTRACTS (EN/SI)


DOI: https://doi.org/10.26493/1855-3974.953.3e1

ISSN: 1855-3974

Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications