Title: Some recent results on graph perturbations and the effect on their spectrum

Time: Dec 21, 2022 04:00-05：00 PM Beijing, Shanghai

Meeting ID:  (ZOOM) 976 2601 7096 Passcode: 137769

Speaker: Prof. Olaf Post (University of Trier)

Abstract:

In this talk I will talk about joint works with Fernandó Lledo (Madrid) and John Fabila (Edinburgh) on the spectrum of discrete Laplacians on weighted magnetic graphs and its behaviour under perturbations such as removing edges, contracting vertices etc.  One application is an easy spectral criterion whether a graph is Hamiltonian or not. Another application is a construction of families of isospectral graphs.