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UID:55511ff0bc9b8935e5a1073e819495e1
CATEGORIES:Experimental Mathematics Seminar
CREATED:20210831T104220
SUMMARY:Coloring subsets with r-wise intersecting color classes
LOCATION:zoom
DESCRIPTION:Abstract: What is the minimum number of colors required in a coloring of al
 l k-subsets of an n-set so that every color class is r-wise intersecting? W
 e suggest a conjectured answer for all r, k and n, note that for r=2 this i
 s Kneser's conjecture proved by Lovasz, and prove the conjecture for any r 
 which is either a prime or a power of 2.\n
X-ALT-DESC;FMTTYPE=text/html:<p><em style="color: #000000; font-family: 'Times New Roman'; font-size: me
 dium; background-color: inherit;">Abstract</em>: What is the minimum number
  of colors required in a coloring of all k-subsets of an n-set so that ever
 y color class is r-wise intersecting? We suggest a conjectured answer for a
 ll r, k and n, note that for r=2 this is Kneser's conjecture proved by Lova
 sz, and prove the conjecture for any r which is either a prime or a power o
 f 2.</p>
CONTACT:Noga Alon, Princeton University
X-EXTRAINFO:Zoom link: https://rutgers.zoom.us/j/94346444480\nPassword: The 20th Catala
 n number, alias (40)!/(20!*21!), alias 6564120420
DTSTAMP:20260829T230552
DTSTART;TZID=America/New_York:20210923T170000
DTEND;TZID=America/New_York:20210923T180000
SEQUENCE:0
TRANSP:OPAQUE
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