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Description
  • We consider LP-type problems, a successful axiomatic framework for optimization problems capturing, e.g., linear programming and the smallest enclosing ball of a point set. Earlier the author and Skovron proved that in order to remove degeneracies of an LP-type problem, we sometimes have to increase its combinatorial dimension by an arbitrarily large amount. Here somewhat stronger results are proved by a completely different and much simpler method using topology.
  • We consider LP-type problems, a successful axiomatic framework for optimization problems capturing, e.g., linear programming and the smallest enclosing ball of a point set. Earlier the author and Skovron proved that in order to remove degeneracies of an LP-type problem, we sometimes have to increase its combinatorial dimension by an arbitrarily large amount. Here somewhat stronger results are proved by a completely different and much simpler method using topology. (en)
Title
  • Removing degeneracy in LP-type problems revisited
  • Removing degeneracy in LP-type problems revisited (en)
skos:prefLabel
  • Removing degeneracy in LP-type problems revisited
  • Removing degeneracy in LP-type problems revisited (en)
skos:notation
  • RIV/00216208:11320/09:00206350!RIV10-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • P(1M0545), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika
  • 4
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  • 338922
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/09:00206350
http://linked.open...riv/jazykVysledku
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  • Removing; degeneracy; LP-type; problems; revisited (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [7F9903E1A6CD]
http://linked.open...i/riv/nazevZdroje
  • Discrete and Computational Geometry
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 42
http://linked.open...iv/tvurceVysledku
  • Matoušek, Jiří
http://linked.open...ain/vavai/riv/wos
  • 000271198900001
http://linked.open...n/vavai/riv/zamer
issn
  • 0179-5376
number of pages
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  • 11320
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