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Forbidding a set difference of size 1.

Authors :
Leader, Imre
Long, Eoin
Source :
Discrete Applied Mathematics. May2014, Vol. 169, p219-224. 6p.
Publication Year :
2014

Abstract

Abstract: How large can a family be if it does not contain with ? Our aim in this paper is to show that any such family has size at most . This is tight up to a multiplicative constant of 2. We also obtain similar results for families with , showing that they satisfy , where is a constant depending only on . [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0166218X
Volume :
169
Database :
Academic Search Index
Journal :
Discrete Applied Mathematics
Publication Type :
Academic Journal
Accession number :
94905863
Full Text :
https://doi.org/10.1016/j.dam.2013.12.021