Graphs and Matroids Seminar - Chun-Hung LiuExport this event to calendar

Tuesday, February 15, 2022 — 4:00 PM EST

Title: Homomorphism counts in robustly sparse graphs

Speaker: Chun-Hung Liu
Affiliation: Texas A&M University
Zoom: Click here or please email Shayla Redlin

Abstract:

For a fixed graph H and for arbitrarily large host graphs G, the number of homomorphisms from H to G and the number of subgraphs isomorphic to H contained in G have been extensively studied when the host graphs are allowed to be dense. This talk addresses the case when the host graphs are robustly sparse. We determine, up to a constant multiplicative error, the maximum number of subgraphs isomorphic to H contained in an n-vertex graph in any fixed hereditary graph class with bounded expansion. This result solves a number of open questions and can be generalized to counting the number of homomorphisms.

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