José São João: A Representation of semidistributive lattices

Abstract

In this talk I will present a representation of finite semidistributive lattices via TIRS graphs. Semidistributive lattices have applications to convex geometries and coxeter groups. This representation is a generalization of Birkhoff's duality of distributive lattices. I will then present some applications of this representation to the domination theory of TIRS graphs.

This is joint work with Andrew Craig (University of Johannesburg, South Africa) and Miroslav Haviar (Matej Bel University, Slovakia).