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  • A set of points is a cup, if it lies on the graph of convex function. Similarly a set of points is a cap, if it lies on concave function. A cup/cap is open, if there is no point above the cup/cap. There is a Ramsey-type theorem, which says that if N is sufficiently large, we always find either open cup of size k or open cap of size l. We present a simple proof for open cups and open caps. Moreover we improve the bounds on N.
  • A set of points is a cup, if it lies on the graph of convex function. Similarly a set of points is a cap, if it lies on concave function. A cup/cap is open, if there is no point above the cup/cap. There is a Ramsey-type theorem, which says that if N is sufficiently large, we always find either open cup of size k or open cap of size l. We present a simple proof for open cups and open caps. Moreover we improve the bounds on N. (en)
  • Mnozina bodu v rovine je salek, pokud lezi na grafu konvexni funkce. Podobne mnozina bodu je cepice, pokud lezi na grafu konkavni funkce. Mnozina je otevrene, pokud nad ni nelezi zadny dalsi bod. Ukazujeme jednoduchy dukaz vety, ze pro dostatecne velke N, kazda N-bodova mnozina v rovine obsahuje bud salek velikosti k a nebo cepici velikosti l. (cs)
Title
  • A simple proof for open cups and caps
  • A simple proof for open cups and caps (en)
  • Krátký důkaz pro otevřené šálky a čepice (cs)
skos:prefLabel
  • A simple proof for open cups and caps
  • A simple proof for open cups and caps (en)
  • Krátký důkaz pro otevřené šálky a čepice (cs)
skos:notation
  • RIV/00216208:11320/07:00005045!RIV08-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 218;226
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 408199
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/07:00005045
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • simple; proof; caps (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [C662C0F18B7E]
http://linked.open...i/riv/nazevZdroje
  • European Journal of Combinatorics
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
  • 29
http://linked.open...iv/tvurceVysledku
  • Černý, Jakub
http://linked.open...n/vavai/riv/zamer
issn
  • 0195-6698
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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