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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20261002T153000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/tutte-colloq
 uium-recent-progress-erdos-rogers-function
SUMMARY:Tutte Colloquium | Recent Progress on Erdos-Rogers Function
CLASS:PUBLIC
DESCRIPTION:SPEAKER:\n Jacques Verstraete\n\nAFFILIATION:\n University of C
 alifornia\n\nLOCATION:\n MC 5501\n\nABSTRACT: For positive integers $s$ a
 nd $n$\, let $f_{s}(n)$ denote\nthe maximum $k$ such that every $n$-vertex
  $K_{s+1}$-free graph\ncontains an induced $K_s$-free subgraph with $k$ ve
 rtices. These are\nthe Erd\\H{o}s-Rogers functions\, introduced by Erd\\H{
 o}s and Rogers in\n1962\, and are generalizations of Ramsey numbers.\n\nIn
  this talk we survey recent progress\, culminating with the recent\nresult
  of Morris\, Saharasbudhe which finally determines the order of\nmagnitude
  of the Erd\\H{o}s-Rogers functions.\n\nJoint work with Rob Morris and Jul
 ian Saharasbudhe.
DTSTAMP:20261008T033718Z
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