Algebraic Graph Theory Seminar - Jo Ellis-Monaghan
Title: An algebraic framework for twualities of embedded graphs
Speaker: | Jo Ellis-Monaghan |
Affiliation: | Korteweg-de Vries Instituut voor Wiskunde, Universiteit van Amsterdam |
Zoom: | Contact Soffia Arnadottir |
Abstract:
We develop algebraic tools to identify and generate new surface embeddings of graphs with various forms of self-twuality including geometric duality, Petrie duality, Wilson duality, and both forms of triality (which is like duality, but of order three instead of two). These operations are of particular interest because of their interplay with graph symmetries and graph polynomials.