Advanced search
Start date
Betweenand


The number of Bh-sets of a given cardinality

Full text
Author(s):
Dellamonica, Domingos, Jr. ; Kohayakawa, Yoshiharu ; Lee, Sang June ; Rodl, Vojtech ; Samotij, Wojciech
Total Authors: 5
Document type: Journal article
Source: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY; v. 116, p. 41-pg., 2018-03-01.
Abstract

For any integer h2, a set A of integers is called a Bh-set if all sums a1++ah, with a1,...,ahA and a1ah, are distinct. We obtain essentially sharp asymptotic bounds for the number of Bh-sets of a given cardinality that are contained in the interval {1,,n}. As a consequence of these bounds, we determine, for any integer mn, the cardinality of the largest Bh-set contained in a typical m-element subset of {1,...,n}. (AU)

FAPESP's process: 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat
Grantee:Oswaldo Baffa Filho
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
FAPESP's process: 13/03447-6 - Combinatorial structures, optimization, and algorithms in theoretical Computer Science
Grantee:Carlos Eduardo Ferreira
Support Opportunities: Research Projects - Thematic Grants