Algebraic Graph Theory Seminar - Bogdan NicaExport this event to calendar

Monday, November 28, 2022 — 11:30 AM EST

Title: A recursive spectral bound for independence

Speaker: Bogdan Nica
Affiliation: Indiana University-Purdue University Indianapolis
Location: Contact Sabrina Lato for Zoom link

Abstract: We discuss an upper bound for the independence number of a graph, in the spirit of the well-known Hoffman bound. Our bound involves the largest Laplacian eigenvalue of the graph; more surprisingly, it also involves the independence number of a certain induced graph. We illustrate the bound on several examples.

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