scholarly journals FC-families and improved bounds for Frankl’s conjecture

2006 ◽  
Vol 27 (2) ◽  
pp. 269-282 ◽  
Author(s):  
Robert Morris
Keyword(s):  
Frankl’S Conjecture

scholarly journals Cutting planes for families implying Frankl’s conjecture

2019 ◽  
Vol 89 (322) ◽  
pp. 829-857
Author(s):  
Jonad Pulaj
Keyword(s):  
Cutting Planes ◽  
Frankl’S Conjecture

Frankl’s Conjecture and the Dual Covering Property

2009 ◽  
Vol 25 (1) ◽  
pp. 115-121 ◽  
Author(s):  
R. S. Shewale ◽  
Vinayak Joshi ◽  
V. S. Kharat
Keyword(s):  
Covering Property ◽  
Frankl’S Conjecture

scholarly journals An attempt at frankl’s conjecture

2007 ◽  
pp. 29-43 ◽  
Author(s):  
Petar Markovic
Keyword(s):  
Finite Union ◽  
Finite Sets ◽  
Frankl’S Conjecture

In 1979 Frankl conjectured that in a finite union-closed family F of finite sets, F _= {?} there has to be an element that belongs to at least half of the sets in F. We prove this when |U F| _ <10.

scholarly journals Formalizing Frankl’s Conjecture: FC-Families

2012 ◽  
pp. 248-263 ◽  
Author(s):  
Filip Marić ◽  
Miodrag Živković ◽  
Bojan Vučković
Keyword(s):  
Frankl’S Conjecture

scholarly journals The $11$-element case of Frankl's conjecture

10.37236/812 ◽  
2008 ◽  
Vol 15 (1) ◽  
Author(s):  
Ivica Bošnjak ◽  
Petar Marković
Keyword(s):  
Finite Union ◽  
Finite Sets ◽  
Frankl’S Conjecture

In 1979, P. Frankl conjectured that in a finite union-closed family ${\cal F}$ of finite sets, ${\cal F}\neq\{\emptyset\}$, there has to be an element that belongs to at least half of the sets in ${\cal F}$. We prove this when $|\bigcup{\cal F}|\leq 11$.

scholarly journals On the Scope of Averaging for Frankl’s Conjecture

Order ◽  
2009 ◽  
Vol 26 (1) ◽  
pp. 31-48 ◽  
Author(s):  
Gábor Czédli ◽  
Miklós Maróti ◽  
E. Tamás Schmidt
Keyword(s):  
Frankl’S Conjecture

Frankl's Conjecture Is True for Lower Semimodular Lattices

2000 ◽  
Vol 16 (1) ◽  
pp. 115-116 ◽  
Author(s):  
J�rgen Reinhold
Keyword(s):  
Semimodular Lattices ◽  
Frankl’S Conjecture

An Asymptotic Version of Frankl’s Conjecture

2021 ◽  
Vol 128 (7) ◽  
pp. 652-654
Author(s):  
Luca Studer
Keyword(s):  
Frankl’S Conjecture
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