Geodesic
An improvement to Mathon's cyclotomic Ramsey colorings
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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In this note we show how to extend Mathon's cyclotomic colorings of the edges of some complete graphs without increasing the maximum order of monochromatic complete subgraphs. This improves the well known lower bound construction for multicolor Ramsey numbers, in particular we obtain $R_3(7) \ge 3214$.
DOI : 10.37236/239
Classification : 05C55, 05C15
Mots-clés : Mathon's cyclotomic colorings, edge coloring, monochromatic complete subgraphs, multicolor Ramsey number 
@article{10_37236_239,
     author = {Xiaodong Xu and Stanis{\l}aw P. Radziszowski},
     title = {An improvement to {Mathon's} cyclotomic {Ramsey} colorings},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/239},
     zbl = {1159.05039},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/239/}
}
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Xiaodong Xu; Stanisław P. Radziszowski. An improvement to Mathon's cyclotomic Ramsey colorings. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/239

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