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Friday, September 11, 2020

Friday, September 11, 2020 — 3:30 PM EDT

Title: Further progress towards Hadwiger's conjecture

Speaker: Luke Postle Affiliation: University of Waterloo Zoom: Please email Emma Watson.

Abstract:

In 1943, Hadwiger conjectured that every graph with no $K_t$ minor is $(t-1)$-colorable for every $t\ge 1$. In the 1980s, Kostochka and Thomason independently proved that every graph with no $K_t$ minor has average degree $O(t\sqrt{\log t})$ and hence is $O(t\sqrt{\log t})$-colorable. 

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