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UID:bbe23e6d1a0c59e63e3d1be178bf509c
CATEGORIES:Discrete Math
CREATED:20230428T072812
SUMMARY:A constant lower bound for Frankl's union-closed sets conjecture. 
LOCATION:Hill 705
DESCRIPTION:<p><strong>Abstract</strong>:&nbsp;A finite set system is union-closed if f
 or every pair of sets in the system their union is also in the system. Fran
 kl in 1979 conjectured that for any such system there exists an element whi
 ch is contained in ½ of the sets in that system (the only exception being t
 he family containing just the empty set). In this talk I will discuss how a
  simple insight regarding the contrapositive of Frankl's conjecture eventua
 lly led to the discovery of an information theoretic approach on the proble
 m and a proof of the first constant lower bound.&nbsp;</p>
CONTACT:Speaker: Justin Gilmer (Google)
DTSTAMP:20260829T144510
DTSTART;TZID=America/New_York:20230501T143000
DTEND;TZID=America/New_York:20230501T153000
SEQUENCE:0
TRANSP:OPAQUE
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