# Seminars & Colloquia Calendar

## Pure pairs in graphs with forbidden induced subgraphs

#### Sophie Spirkl (Princeton University)

Location: ** Hill 705**

Date & time: Monday, 02 March 2020 at 2:00PM - 3:00PM

Abstract:

Given a graph G, two subsets A and B of its vertex set are a "pure pair" if either all or none of the edges between them are present in G.

Motivated by the Erdos-Hajnal conjecture, we ask: Given a class of graphs C defined by forbidding induced subgraphs, do all graphs in C have large pure pairs? More precisely, for which functions f and g does every n-vertex graph in C have a pure pair with |A| = f(n) and |B| = g(n)?

Two years ago, I talked about classes of graphs for which f and g can be chosen as linear functions. This time, I will talk about more recent progress on the general question, and related results.

Joint work with Maria Chudnovsky, Jacob Fox, Alex Scott, and Paul Seymour.

Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Brooke Ogrodnik, Website

Robert Dougherty-Bliss and Doron Zeilberger --> homepage

Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Quentin Dubroff Organizer's webpage

James Holland; Organizer website

Edna Jones Organizer's webpage

Brooke Ogrodnik website

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage

Organizer: Luochen Zhao

Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis Organizer's Webpage

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Brooke Ogrodnik, Website

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Fioralba Cakoni Seminar webpage

Ebru Toprak, Organizer

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