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  • We show that for each integer g there is a constant Cg such that every graph that embeds in the projective plane with sufficiently large face-width r has crossing number at least Cgr^2 in the orientable surface Sg of genus g. As a corollary, we give a polynomial time constant factor approximation algorithm for the crossing number of projective graphs with bounded degree.
  • We show that for each integer g there is a constant Cg such that every graph that embeds in the projective plane with sufficiently large face-width r has crossing number at least Cgr^2 in the orientable surface Sg of genus g. As a corollary, we give a polynomial time constant factor approximation algorithm for the crossing number of projective graphs with bounded degree. (en)
Title
  • The crossing number of a projective graph is quadratic in the face--width
  • The crossing number of a projective graph is quadratic in the face--width (en)
skos:prefLabel
  • The crossing number of a projective graph is quadratic in the face--width
  • The crossing number of a projective graph is quadratic in the face--width (en)
skos:notation
  • RIV/00216224:14330/08:00024698!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/08/0308), S, Z(MSM0021622419)
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
  • 361595
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/08:00024698
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • crossing number; projective plane; face-width (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [56B443CBEB8C]
http://linked.open...i/riv/nazevZdroje
  • Electronic 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
  • 15
http://linked.open...iv/tvurceVysledku
  • Hliněný, Petr
  • Salazar, Gelasio
  • Gitler, Isidoro
  • Leanos, Jesus
http://linked.open...ain/vavai/riv/wos
  • 000254150200003
http://linked.open...n/vavai/riv/zamer
issn
  • 1077-8926
number of pages
http://localhost/t...ganizacniJednotka
  • 14330
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