Let it be a large integer and A be a subset of [n] = {1, ... , n}. The set S-A is the collection of the subset sums of A. In this note, we discuss new results (and proofs) on few well-known problems concerning SA. In particular, we improve an estimate of Alon and Erdos concerning monochromatic representations. (C) 2006 Elsevier Inc. All rights reserved.
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Univ Paris 06, Equipe Combinatoire & Optimisat, IMJ, F-75005 Paris, FranceUniv Paris 06, Equipe Combinatoire & Optimisat, IMJ, F-75005 Paris, France
Balandraud, Eric
Girard, Benjamin
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Univ Paris 06, Equipe Combinatoire & Optimisat, IMJ, F-75005 Paris, FranceUniv Paris 06, Equipe Combinatoire & Optimisat, IMJ, F-75005 Paris, France
Girard, Benjamin
Griffiths, Simon
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IMPA, BR-22460320 Rio De Janeiro, BrazilUniv Paris 06, Equipe Combinatoire & Optimisat, IMJ, F-75005 Paris, France
Griffiths, Simon
Hamidoune, Yahya Ould
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Univ Paris 06, Equipe Combinatoire & Optimisat, IMJ, F-75005 Paris, FranceUniv Paris 06, Equipe Combinatoire & Optimisat, IMJ, F-75005 Paris, France
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Tel Aviv Univ, Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel