On three sets with nondecreasing diameter

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2015Embargo end date: 01 Jan 2014 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 338, pages 1,328-1,344 (issn: 0012-365X,

Copyright policy )Funded by:NSF | A Summer Research Experie...

Authors: Daniel Irving Bernstein; David J. Grynkiewicz; Carl Yerger;

doi: 10.1016/j.disc.2015.02.007 , 10.48550/arxiv.1407.5122

arXiv: 1407.5122

On three sets with nondecreasing diameter

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Abstract

Let $[a,b]$ denote the integers between $a$ and $b$ inclusive and, for a finite subset $X \subseteq \mathbb{Z}$, let the diameter of $X$ be equal to $\max(X)-\min(X)$. We write $X

24 pages

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Keywords

Distance in graphs, monochromatic $m$-set, Erdős-Ginzburg-Ziv, $m$-set, Trees, integer, FOS: Mathematics, nondecreasing diameter, Mathematics - Combinatorics, Combinatorics (math.CO), Ramsey, 05D10

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