A characterization of additive sets

Authors:
Ernesto Vallejo
Affiliations:
Instituto de Matemáticas, Unidad Morelia, UNAM, Apartado Postal 61-3, Xangari, 58089 Morelia, Mich., Mexico
Venue:
Discrete Mathematics
Year:
2002

Citing 3
Cited 1

Sets uniquely determined by projections on axes II Discrete case

Discrete Mathematics
Reductions of additive sets, sets of uniqueness and pyramids

Discrete Mathematics
Plane Partitions and Characters of the Symmetric Group

Journal of Algebraic Combinatorics: An International Journal

Additivity obstructions for integral matrices and pyramids

Theoretical Computer Science

Quantified Score

Hi-index	0.05

Visualization

Abstract

We give a necessary and sufficient condition for a finite set contained in N3 to be additive in terms of plane partitions. It follows that this condition is sufficient for a plane partition to be minimal. As an application, we describe all additive sets contained in the box B(2, q,r) and show that they coincide with the sets of uniqueness.