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  • A conjecture of Richter and Salazar about graphs that are critical for a fixed crossing number k is that they have bounded bandwidth. A weaker well-known conjecture of Richter is that their maximum degree is bounded in terms of k. In this note we disprove these conjectures for every kgreater-or-equal, slanted171, by providing examples of k-crossing-critical graphs with arbitrarily large maximum degree.
  • A conjecture of Richter and Salazar about graphs that are critical for a fixed crossing number k is that they have bounded bandwidth. A weaker well-known conjecture of Richter is that their maximum degree is bounded in terms of k. In this note we disprove these conjectures for every kgreater-or-equal, slanted171, by providing examples of k-crossing-critical graphs with arbitrarily large maximum degree. (en)
Title
  • Crossing-critical graphs with large maximum degree
  • Crossing-critical graphs with large maximum degree (en)
skos:prefLabel
  • Crossing-critical graphs with large maximum degree
  • Crossing-critical graphs with large maximum degree (en)
skos:notation
  • RIV/00216208:11320/10:10033303!RIV11-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545)
http://linked.open...iv/cisloPeriodika
  • 4
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
  • 252398
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/10:10033303
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Maximum degree; Critical graph; Crossing number (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [DB9A82BE036F]
http://linked.open...i/riv/nazevZdroje
  • Journal of Combinatorial Theory. Series B
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
  • 100
http://linked.open...iv/tvurceVysledku
  • Dvořák, Zdeněk
  • Mohar, Bojan
http://linked.open...ain/vavai/riv/wos
  • 000277254700006
issn
  • 0095-8956
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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