Toward a graph version of Rado's theorem
The electronic journal of combinatorics, Tome 20 (2013) no. 1
An equation is called graph-regular if it always has monochromatic solutions under edge-colorings of $K_{\mathbb{N}}$. We present two Rado-like conditions which are respectively necessary and sufficient for an equation to be graph-regular.
DOI :
10.37236/3082
Classification :
05C15, 05C55
Mots-clés : coloring, Ramsey theory, Rado's theorem
Mots-clés : coloring, Ramsey theory, Rado's theorem
Affiliations des auteurs :
Andy Parrish  1
@article{10_37236_3082,
author = {Andy Parrish},
title = {Toward a graph version of {Rado's} theorem},
journal = {The electronic journal of combinatorics},
year = {2013},
volume = {20},
number = {1},
doi = {10.37236/3082},
zbl = {1267.05123},
url = {http://geodesic.mathdoc.fr/articles/10.37236/3082/}
}
Andy Parrish. Toward a graph version of Rado's theorem. The electronic journal of combinatorics, Tome 20 (2013) no. 1. doi: 10.37236/3082
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