Isospectral magnetic graphs via partitions of numbers

15.11.2023, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Prof. Olaf Post (Trier)

Abstract: In this talk I will present a construction of discrete magnetic non-isomorphic graphs with isospectral Laplacians.  The construction is based on gluing building blocks according to a partition of a natural number. The simplest example is 2+2=1+3 leading to two non-isomorphic graphs. This is joint work with John Fabila-Carrasco and Fernando Lledó.