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Description
  • The visibility graph $V(P)$ of a set of points $P$ in the plane is the graph with vertex set $P$ where two vertices $u$ and $v$ are adjacent if and only if there is no point from $P$ on the segment connecting $u$ with $v$. We study the chromatic number of $V(P)$ and show superpolynomial lower bound on the chromatic number in terms of clique number.
  • The visibility graph $V(P)$ of a set of points $P$ in the plane is the graph with vertex set $P$ where two vertices $u$ and $v$ are adjacent if and only if there is no point from $P$ on the segment connecting $u$ with $v$. We study the chromatic number of $V(P)$ and show superpolynomial lower bound on the chromatic number in terms of clique number. (en)
  • Viditelnostní graf $V(P)$ množiny bodů v rovině $P$ je graf s vrcholy $P$, kde vrcholy $u$ a $v$ jsou spojené hranou právě když na úsečce spojující $u$ a $v$ neleží žádný jiný bod z $P$. V práci studujeme barevnost $V(P)$ a ukážeme super-polynomiální dolní mez na barevnost vzhledem ke klikovosti. (cs)
Title
  • On the Chromatic Number of the Visibility Graph of a Set of Points in the Plane
  • O barevnosti viditelnostních grafů (cs)
  • On the Chromatic Number of the Visibility Graph of a Set of Points in the Plane (en)
skos:prefLabel
  • On the Chromatic Number of the Visibility Graph of a Set of Points in the Plane
  • O barevnosti viditelnostních grafů (cs)
  • On the Chromatic Number of the Visibility Graph of a Set of Points in the Plane (en)
skos:notation
  • RIV/00216208:11320/05:00005597!RIV08-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 497;506
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(LN00A056)
http://linked.open...iv/cisloPeriodika
  • 3
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
  • 534440
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/05:00005597
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Chromatic; Number; Visibility; Graph; Points; Plane (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [C3D163A3A06E]
http://linked.open...i/riv/nazevZdroje
  • Discrete and Computational Geometry
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
  • 34
http://linked.open...iv/tvurceVysledku
  • Kára, Jan
issn
  • 0179-5376
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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