University of Birmingham > Talks@bham > Combinatorics and Probability Seminar > The Erdős-Rothschild problem

The Erdős-Rothschild problem

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If you have a question about this talk, please contact Johannes Carmesin.

Consider an $n$-vertex graph $G$ whose edges are coloured with $s$ colours so that there is no monochromatic clique of size $k$, and call such a colouring of $G$ valid. The Erdős-Rothschild problem from 1974 is to determine the maximum number of valid colourings over all $n$-vertex graphs $G$. This problem is in general wide open and an exact (or even asymptotic) answer is only known for a few pairs $(k,s)$. In this talk I will discuss a method for obtaining new exact results. Joint work with Oleg Pikhurko

This talk is part of the Combinatorics and Probability Seminar series.

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