PPL 059 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.26
Prize Problem LedgerErdősPPL 059Erdős Problem #500

Permanent problem IDPPL 059

Verified openErdősconjecture

Graph theory

Erdős Problem #500

What is ex_3(n,K_4^3)? That is, the largest number of 3-edges which can placed on n vertices so that there exists no K_4^3, a set of 4 vertices which is covered by all 4 possible 3-edges.

graph theoryhypergraphsturan number
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The problem

What is ex_3(n,K_4^3)? That is, the largest number of 3-edges which can placed on n vertices so that there exists no K_4^3, a set of 4 vertices which is covered by all 4 possible 3-edges.

Open since1961earliest source
Last checked2026.07.26Catalog verification
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Reward offers

Offer 01$500Paul Erdős / Combinatorics Foundation
Documented

A solution must appear in a reputable journal, with documentation that Erdős offered the displayed amount. Claims are administered by the Combinatorics Foundation; erdosproblems.com does not pay awards.

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Sources & reading