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Description
  • The nth crossing number of a graph G, denoted cr(n)(G), is the minimum number of crossings in a drawing of G on an orientable surface of genus n. We prove that for every a } b } 0, there exists a graph G for which cr(0)(G) = a, cr(1)(G) = b, and cr(2)(G) = 0. This provides support for a conjecture of Archdeacon et al. and resolves a problem of Salazar.
  • The nth crossing number of a graph G, denoted cr(n)(G), is the minimum number of crossings in a drawing of G on an orientable surface of genus n. We prove that for every a } b } 0, there exists a graph G for which cr(0)(G) = a, cr(1)(G) = b, and cr(2)(G) = 0. This provides support for a conjecture of Archdeacon et al. and resolves a problem of Salazar. (en)
Title
  • Unexpected behaviour of crossing sequences
  • Unexpected behaviour of crossing sequences (en)
skos:prefLabel
  • Unexpected behaviour of crossing sequences
  • Unexpected behaviour of crossing sequences (en)
skos:notation
  • RIV/00216208:11320/11:10100999!RIV12-GA0-11320___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(1M0545), P(GPP201/10/P337), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
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http://linked.open...dnocenehoVysledku
  • 236810
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/11:10100999
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • sequences; crossing; behaviour; Unexpected (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [9DD4AEDC7A33]
http://linked.open...i/riv/nazevZdroje
  • Journal of Combinatorial Theory. Series B
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http://linked.open...v/svazekPeriodika
  • 101
http://linked.open...iv/tvurceVysledku
  • Šámal, Robert
  • DeVos, Matt
  • Mohar, Bojan
http://linked.open...ain/vavai/riv/wos
  • 000294972800004
http://linked.open...n/vavai/riv/zamer
issn
  • 0095-8956
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jctb.2010.12.002
http://localhost/t...ganizacniJednotka
  • 11320
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