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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)
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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)
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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)
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skos:notation
| - RIV/00216208:11320/06:00005321!RIV08-MSM-11320___
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(1M0545), Z(MSM0021620838)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216208:11320/06:00005321
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Berge's; theorem; fractional; Helly; galleries (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
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http://linked.open...n/vavai/riv/zamer
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http://localhost/t...ganizacniJednotka
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