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List Colourings of Regular Hypergraphs

Published online by Cambridge University Press:  02 February 2012

DAVID SAXTON
Affiliation:
DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, UK (e-mail: D.W.Saxton@dpmms.cam.ac.uk, A.G.Thomason@dpmms.cam.ac.uk)
ANDREW THOMASON
Affiliation:
DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, UK (e-mail: D.W.Saxton@dpmms.cam.ac.uk, A.G.Thomason@dpmms.cam.ac.uk)
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Abstract

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We show that the list chromatic number of a simple d-regular r-uniform hypergraph is at least (1/2r log(2r2) + o(1)) log d if d is large.

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Type
Paper
Copyright
Copyright © Cambridge University Press 2012