Artículos de revistas
Extremal problems on sum-free sets and coverings in tridimensional spaces
Fecha
2009Registro en:
AEQUATIONES MATHEMATICAE, v.78, n.1/Fev, p.101-112, 2009
0001-9054
10.1007/s00010-009-2971-0
Autor
CARMELO, E. L. Monte
MENDONCA NETO, C. F. X. de
Institución
Resumen
Given a prime power q, define c (q) as the minimum cardinality of a subset H of F 3 q which satisfies the following property: every vector in this space di ff ers in at most 1 coordinate from a multiple of a vector in H. In this work, we introduce two extremal problems in combinatorial number theory aiming to discuss a known connection between the corresponding coverings and sum-free sets. Also, we provide several bounds on these maps which yield new classes of coverings, improving the previous upper bound on c (q)