Diophantine approximation and coloring
Alan Haynes, Sara Munday
TL;DR
This paper explores the interplay between graph theory and Diophantine approximation, providing accessible proofs of complex results by leveraging their connections.
Contribution
It introduces a novel approach linking graph theory and Diophantine approximation to simplify proofs of advanced mathematical results.
Findings
Established new connections between graph theory and Diophantine approximation
Provided simplified proofs of known results in both fields
Enhanced understanding of the relationship between these mathematical areas
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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