Mathematical Sciences Department, Discrete Mathematics Seminar - Brigitte Servatius, WPI "Self-dual maps on the sphere and other compact surfaces" SH202

Floor/Room #

Mathematical Sciences Department

Discrete Mathematics Seminar

Speaker: Brigitte Servatius, WPI

Monday, January 23, 2023

4:00 pm - 4:50 pm

Stratton Hal 202

Title: Self-dual maps on the sphere and other compact surfaces

Abstract: How is this picture self-dual? For a planar graph G we consider three forms of self-duality, namely map self-duality, graph self-duality and matroid self-duality. We use the geometry of self-dual polyhedra together with the structure of the cycle matroid to construct all self-dual graphs. For graphs cellularly embedded on a surface other than the sphere, we consider the Delta-matroid of the corresponding map.