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Description
  • Dokazuje se výsledek typu zlomkové Hellyho věty, týkající se konvexních množin s hvězdovitými sjednoceními, což je inspirováno větou Clauda Berge. Také se dokazuje (p,3)-věta pro viditelnost v galeriích s omezeným počtem děr, čímž se doplňuje dřívější podobný výsledek Kalaie a Matouška o galeriích bez děr. (cs)
  • Inspired by a result of Claude Berge, we prove a fractional Helly-type theorem for convex sets with starshaped unions. We also obtain a (p,3)-theorem for visibility in art galleries with a bounded number of holes, extending a result of Kalai and Matousek concerning galleries without holes.
  • Inspired by a result of Claude Berge, we prove a fractional Helly-type theorem for convex sets with starshaped unions. We also obtain a (p,3)-theorem for visibility in art galleries with a bounded number of holes, extending a result of Kalai and Matousek concerning galleries without holes. (en)
Title
  • Berge's theorem, fractional Helly, and art galleries
  • Bergeho věta, zlomková Hellyho věta a galerie (cs)
  • Berge's theorem, fractional Helly, and art galleries (en)
skos:prefLabel
  • Berge's theorem, fractional Helly, and art galleries
  • Bergeho věta, zlomková Hellyho věta a galerie (cs)
  • Berge's theorem, fractional Helly, and art galleries (en)
skos:notation
  • RIV/00216208:11320/06:00005321!RIV08-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 2303;2313
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika
  • 19-20
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 466735
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/06:00005321
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Berge's; theorem; fractional; Helly; galleries (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [687207250051]
http://linked.open...i/riv/nazevZdroje
  • Discrete Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 306
http://linked.open...iv/tvurceVysledku
  • Matoušek, Jiří
http://linked.open...n/vavai/riv/zamer
issn
  • 0012-365X
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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