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UID:b5cd7fb43aff88ca5b29bb9cbd0c57d6
CATEGORIES:Graduate Student Combinatorics Seminar Sponsored by DIMACS
CREATED:20240926T183225
SUMMARY:Convex Corners and Packing Polytopes
LOCATION:HLL-701
DESCRIPTION:
CONTACT:Max Aires
X-EXTRAINFO:Abstract:  A convex corner is a convex set contained in R_{&gt;= 0}^n which
  is also a downset (under the product order). A VIP among convex corners is
  the vertex packing polytope P(G), which is the convex hull of the vectors 
 of the form 1_I where I is any independent set in G. The packing polytope P
 (G) is central to the theory of combinatorial optimization; in particular, 
 its facets have a nice characterization when G is perfect, which leads to e
 fficient algorithms for many problems on perfect graphs. We shall discuss t
 he geometry of this object, and in particular its relation to another polyt
 ope, the order polytope, showing how purely geometric facts can have neat a
 pplications to posets.
DTSTAMP:20260828T150904
DTSTART;TZID=America/New_York:20241002T121500
DTEND;TZID=America/New_York:20241002T131500
SEQUENCE:0
TRANSP:OPAQUE
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