Tue, 21 Feb 2017
14:30
L6

Extremal Problems on Colourings in Cubic Graphs via the Potts Model

Ewan Davies
(London School of Economics)
Abstract

We prove tight upper and lower bounds on an observable of the antiferromagnetic Potts model. From this we deduce the case d=3 of a conjecture of Galvin and Tetali on maximising the number of proper colourings in d-regular graphs.

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