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On multicolor Ramsey numbers for loose [formula omitted]-paths of length three.

Authors :
Łuczak, Tomasz
Polcyn, Joanna
Ruciński, Andrzej
Source :
European Journal of Combinatorics. Jun2018, Vol. 71, p43-50. 8p.
Publication Year :
2018

Abstract

We show that there exists an absolute constant A such that for each k ≥ 2 and every coloring of the edges of the complete k -uniform hypergraph on A r vertices with r colors, r ≥ r k , one of the color classes contains a loose path of length three. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01956698
Volume :
71
Database :
Academic Search Index
Journal :
European Journal of Combinatorics
Publication Type :
Academic Journal
Accession number :
129626450
Full Text :
https://doi.org/10.1016/j.ejc.2018.02.033