Monday, December 6, 2021

Monday, December 6, 2021 — 11:30 to 11:30 AM EST

Title: On the Laplacian spectra of token graphs

Speaker: Cristina Dalfó Affiliation: Universitat de Lleida Zoom: Contact Soffia Arnadottir

Abstract:

We study the Laplacian spectrum of token graphs, also called symmetric powers of graphs. The k-token graph F_k(G)of a graph G is the graph whose vertices are the k-subsets of vertices from G, two of which being adjacent whenever their symmetric difference is a pair of adjacent vertices in G. In this talk, we give a relationship between the Laplacian spectra of any two token graphs of a given graph.

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