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Monday, February 6, 2023 3:00 pm - 3:00 pm EST (GMT -05:00)

Hitting all maximum stable sets in P5-free graphs - Sepehr Hajebi

Title: Hitting all maximum stable sets in P5-free graphs

Speaker: Sepehr Hajebi
Institution: University of Waterloo
Location: MC 5479

Abstract: We prove that there exists a function f such that, for every positive integer c, every graph with no induced five-vertex path contains either a clique on c+1 vertices or a set of at most f(c) vertices which intersects all maximum stable sets in G.

Friday, March 3, 2023 3:30 pm - 3:30 pm EST (GMT -05:00)

Tutte Colloquium - Stephen Gillen

Title: Critical Points at Infinity for Hyperplanes of Directions

Speaker: Stephen Gillen
Affiliation: University of Waterloo
Location: MC 5501 or contact Eva Lee for Zoom link

Abstract: Analytic combinatorics in several variables (ACSV) analyzes the asymptotic growth of series coefficients of multivariate rational functions G/H in an exponent direction r. The poly-torus of integration T that arises from the multivariate Cauchy Integral Formula is deformed away from the origin into cycles around critical points of a “height function" h on V = V(H).