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Algorithms, Combinatorics and Optimization Seminar
Davidson College Title: Steinberg's Conjecture, the Bordeaux Coloring Conjecture and Near-Coloring Abstract: An important result in the theory of graph coloring is Grotzsch's theorem, which states that every triangle-free planar graph is 3-colorable. A famous related question is due to Steinberg and states that any planar graph without 4- or 5-cycles is 3-colorable. In this talk, we will discuss some of the recent progress made towards proving Steinberg's conjecture and discuss joint work with Ken-ichi Kawarabayashi that planar graphs with no 5-cycles, 6-cycles or intersecting triangles are 3-colorable. In addition, we discuss recently completed senior thesis work based on near-coloring with Kyle Yang. Date: Thursday, May 1, 2014 Time: 3:30 pm Location: Submitted by: Boris Bukh |