Title: Cospectral graphs
Abstract: Spectral graph theory studies some of the properties of a graph by associating various types of matrices with it. The spectrum of matrices associated with a graph determines some of the structural properties of that graph. However, not all features are revealed by the spectrum of the associated matrices. One such instance is that two non-isomorphic graphs can have the same spectrum. In this talk we discuss some of the graphs which are determined by their spectrum, and constructions of cospectral nonisomorphic graphs.
Bio: M. Rajesh Kannan received his Ph.D. in Mathematics from IIT Madras, Chennai, in 2014. He pursued postdoctoral research at ISI Delhi, The Technion, and University of Manitoba. He served as a faculty member at IIT Kharagpur from 2016 to 2022 and has been with IIT Hyderabad since 2022. His research interests include Spectral Graph Theory, Matrix Theory, and Functional Analysis.