Sets of integers that do not contain Hilbert cubes of dimension 3

2013/10/06 by Javier Cilleruelo, Cilleruelo, Javier
Mathematics · #Advanced Optimization Algorithms Research #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Number Theory (math.NT) #math.CO #math.NT

paper · pdf · doi:10.48550/arxiv.1310.1646

This paper as been withdrawn by the author becuase it is contained in a later paper of the author entitled "An extremal problem on Hilbert cubes and complete r-partite hypergraphs

openalex publication_date 2013/10/06 · arxiv created 2013/11/04 · arxiv updated 2013/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a set of positive integers A in 1,.., n with |A|>> n^2/3 that does not contain Hilbert cubes of dimension 3.

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