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Rainbow-free 3-colorings in abelian groups

Author
Montejano, A.; Serra, O.
Type of activity
Journal article
Journal
Electronic notes in discrete mathematics
Date of publication
2009-07-27
Number
34
First page
133
Last page
137
Repository
http://hdl.handle.net/2117/7572 Open in new window
Abstract
A 3–coloring of an abelian group G is rainbow–free if there is no 3–term arithmetic progression with its members having pairwise distinct colors. We describe the structure of rainbow–free colorings of abelian groups. This structural description proves a conjecture of Jungi´c et al. on the size of the smallest chromatic class of a rainbow–free coloring of cyclic groups.
Citation
Montejano, A.; Serra, O. Rainbow-free 3-colorings in abelian groups. "Electronic notes in discrete mathematics", 27 Juliol 2009, núm. 34, p. 133-137.
Group of research
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

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