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UID:c18fbf19f0e1daa37fd6db69bc250de7
CATEGORIES:Mathematical Physics Seminar
CREATED:20220822T133555
SUMMARY:Friendly Bisections of Random Graphs
LOCATION:Hill Center Room 705
DESCRIPTION:Abstract - We prove that with high probability, the random graph G(n,1/2) o
 n an even number of vertices admits a partition of its vertex set into two 
 parts of equal size in which n ? o(n) vertices have more neighbours on thei
 r own side than across. This settles an old conjecture of Furedi from 1988,
  which also appears as Problem 91 in Ben Green’s list of 100 open problems.
 \n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract - We prove that with high probability, the random graph G(n,1/2
 ) on an even number of vertices admits a partition of its vertex set into t
 wo parts of equal size in which n ? o(n) vertices have more neighbours on t
 heir own side than across. This settles an old conjecture of Furedi from 19
 88, which also appears as Problem 91 in Ben Green’s list of 100 open proble
 ms.</p>
CONTACT:Bhargav Narayanan - Rutgers University
DTSTAMP:20260828T134125
DTSTART;TZID=America/New_York:20220922T120000
DTEND;TZID=America/New_York:20220922T130000
SEQUENCE:0
TRANSP:OPAQUE
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