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Discrete Math

Cooperative colorings

 Ron Aharoni, Technion

Location:  HILL 705
Date & time: Monday, 25 September 2017 at 2:00PM - 3:00PM

Abstract:  Given graphs \(G_1, ldots, G_k\) on the same vertex set \(V\), a {em cooperative coloring} is a choice of an independent set \(I_j\) in each  \(G_j\), such that \(bigcup_{j le k}I_j=V\). When all \(G_i\)s are the same graph, this is the familiar notion of \(k\)-coloring. What is the analogue of the fact that the coloring number of a graph \(G\) is no larger than \(Delta(G)+1\)? A sample result: three cycles have a cooperative coloring.

Joint works with Berger, Chudnovsky, Holzman, Jiang and Spr"ussel.


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