Department of

Mathematics


Seminar Calendar
for events the day of Thursday, June 16, 2016.

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Thursday, June 16, 2016

12:00 pm in 345 Altgeld Hall,Thursday, June 16, 2016

Edge-Coloring Graphs

Michael Santana   [email] (University of Illinois at Urbana-Champaign)

Abstract: In graph theory, an edge-coloring is a function that assigns to every edge some label, which we call a “color.” There exist many versions of edge-colorings depending on various restrictions placed upon the labeling. In this talk, we will discuss proper edge-colorings and strong edge-colorings, along with various results and open problems. If time permits, we will discuss the discharging method; in particular, we will present a result of Kostochka et al. that proves a 25-year-old conjecture on strong edge-colorings.