Monochromatic paths for the integers
Combinatorics
2016-07-12 v1
Abstract
Recall that van der Waerden's theorem states that any finite coloring of the naturals has arbitrarily long monochromatic arithmetic sequences. We explore questions about the set of differences of those sequences.
Keywords
Cite
@article{arxiv.1606.00418,
title = {Monochromatic paths for the integers},
author = {João Guerreiro and Imre Z. Ruzsa and Manuel Silva},
journal= {arXiv preprint arXiv:1606.00418},
year = {2016}
}