journal article
oaidoi:10.1016/j.disc.2007.08.071

Rainbow solutions to the Sidon equation

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Publication date
28 October 2008
Publisher
Elsevier B.V.
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    Abstract

    AbstractWe prove that for every 4-coloring of {1,2,…,n}, with each color class having cardinality more than (n+1)/6, there exists a solution of the equation x+y=z+w with x, y, z and w belonging to different color classes. The lower bound on a color class cardinality is tight

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