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math.CO2012
Maximal sets with no solution to x+y=3z
Alain Plagne, Anne de Roton
In this paper, we are interested in a generalization of the notion of sum-free sets. We address a conjecture first made in the 90s by Chung and Goldwasser. Recently, after some com…
math.NT2012
Some remarks on barycentric-sum problems over cyclic groups
Oscar Ordaz, Alain Plagne, Wolfgang A. Schmid
We derive some new results on the k-th barycentric Olson constants of abelian groups (mainly cyclic). This quantity, for a finite abelian (additive) group (G,+), is defined as the…