Maps and Δ-matroids revisited

Rémi Cocou Avohou; Brigitte Servatius; Herman Servatius

doi:10.26493/2590-9770.1360.465

Rémi Cocou Avohou The African Institute for Mathematical Sciences (AIMS), Senegal
Brigitte Servatius Worcester Polytechnic Institute, United States https://orcid.org/0000-0003-3729-3399
Herman Servatius Worcester Polytechnic Institute, United States

DOI: https://doi.org/10.26493/2590-9770.1360.465

Keywords: Matroid, Δ-matroid, cellular map, topological surface

Abstract

Using Tutte’s combinatorial definition of a map we define a Δ-matroid purely combinatorially and show that it is identical to Bouchet’s topological definition.