English

Toward a graph version of Rado's theorem

Combinatorics 2012-02-14 v1

Abstract

An equation is called graph-regular if it always has monochromatic solutions under edge-colorings of the complete graph on the naturals. We present two Rado-like conditions which are respectively necessary and sufficient for an equation to be graph-regular.

Keywords

Cite

@article{arxiv.1202.2581,
  title  = {Toward a graph version of Rado's theorem},
  author = {Andy Parrish},
  journal= {arXiv preprint arXiv:1202.2581},
  year   = {2012}
}
R2 v1 2026-06-21T20:18:19.455Z