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Diophantine approximation and coloring

2013/08/01 by Alan Haynes, Haynes, Alan, Sara Munday +1
Mathematics · #05C15 #11J99 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:05C15 #msc:11J99

paper · pdf · doi:10.48550/arxiv.1308.0208

16 pages, pre-publication version of paper which will appear in American Mathematical Monthly

arxiv created 2014/02/20 · arxiv updated 2014/02/21

Abstract

We demonstrate how connections between graph theory and Diophantine approximation can be used in conjunction to give simple and accessible proofs of seemingly difficult results in both subjects.

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