On a Conjecture of Frankl and Füredi

Ameera Chowdhury

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Frankl and Füredi conjectured that if F⊃2X is a non-trivial λ-intersecting family of size m, then the number of pairs {x,y}∈(X2) that are contained in some F∈F is at least (m2) [P. Frankl and Z. Füredi. A Sharpening of Fisher's Inequality. Discrete Math., 90(1):103-107, 1991]. We verify this conjecture in some special cases, focusing especially on the case where F is additionally required to be k-uniform and λ is small.

Original languageEnglish (US)
Pages (from-to)259-263
Number of pages5
JournalElectronic Notes in Discrete Mathematics
StatePublished - Dec 1 2011

Bibliographical note

Funding Information:
1 The author thanks the US State Department and the Hungarian Fulbright Commission for funding her and the Rényi Institute for hosting her while she was a Fulbright fellow. 2 Email: anchowdh@math.ucsd.edu

Copyright 2011 Elsevier B.V., All rights reserved.


  • Extremal Set Theory
  • Fisher's Inequality


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