Disjoint sets of distinct sum sets
type: Item
instance of: scholarly article
title: Disjoint sets of distinct sum sets
zbMATH Open document ID: 0884.05018
DOI: 10.1016/S0012-365X(96)00142-2
author: Wende Chen
author: Torleiv Kløve
published in: Discrete Mathematics
publication date: 1998-03-08T00:00:00Z
review text: An \((h,J)\)-DS is a set \(A\) of \(J\) integers such that all sums of \(h\) elements of \(A\) (repetitions allowed) are distinct. An \((h,I,J)\)-DDS is a set \(\Delta= \{\Delta_1,\dots,\Delta_I\}\) of disjoint \((h,J)\)-DSs with positive elements. Let \(\nu(\Delta)\) be the maximum of the elements of the \(\Delta_i\). Several elementary constructions are given for such sets, mainly generalizing previous constructions for \(h=2\). If \(\nu(\Delta)=IJ\) the DDS is called perfect (this is the most interesting case): such a DDS exists (only) for \(I\) sufficiently large.
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 1110012
zbMATH Keywords: distinct sum sets
zbMATH Keywords: intermodulation interference
reviewed by: Giovanni Ferrero
MaRDI profile type: Publication
cites work: Numbered complete graphs, unusual rulers, and assorted applications
cites work: Q5842118
cites work: Theorems in the additive theory of numbers
cites work: On the Size of Finite Sidon Sequences
cites work: Q3338093
cites work: Q5515488
cites work: On finite Sidon sequences
cites work: Bounds on the size of optimal difference triangle sets
cites work: Bounds and constructions of disjoint sets of distinct difference sets
cites work: Constructions of $B_{h}[g]$-sequences
full work available at URL: s0012-365x(96)00142-2
OpenAlex ID: W2058325730
description: scientific article; zbMATH DE number 1110012