About: Chromatic polynomial, q-binomial counting and colored Jones function     Goto   Sponge   NotDistinct   Permalink

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Description
  • Definujeme q-chromatickou funkci na grafech a srovnáváme ji s existujícími grafovými funkcemi. Dále ukazujeme souvislost mezi touto funkcí a obarvenou Jonesovou funkcí uzlů. Odtud ovodíme zajímavé vyjádření Jonesovy funkce uzlového diagramu jako chromatického operátoru aplikovaného na mocninnou řadu, jejíž koeficienty jsou lineární kombinace chordových diagramů. (cs)
  • We define a q-chromatic function on graphs and compare it with existing graph functions. We also relate the q-chromatic function to the colored Jones function of knots. This leads to a curious expression of the colored Jones function of a knot diagram as a chromatic operator applied to a power series whose coefficients are linear combinations of long chord diagrams.
  • We define a q-chromatic function on graphs and compare it with existing graph functions. We also relate the q-chromatic function to the colored Jones function of knots. This leads to a curious expression of the colored Jones function of a knot diagram as a chromatic operator applied to a power series whose coefficients are linear combinations of long chord diagrams. (en)
Title
  • Chromatic polynomial, q-binomial counting and colored Jones function
  • Chromatic polynomial, q-binomial counting and colored Jones function (en)
  • Chromatický polynom, q-binomické počítání a obarvená Jonesova funkce (cs)
skos:prefLabel
  • Chromatic polynomial, q-binomial counting and colored Jones function
  • Chromatic polynomial, q-binomial counting and colored Jones function (en)
  • Chromatický polynom, q-binomické počítání a obarvená Jonesova funkce (cs)
skos:notation
  • RIV/00216208:11320/07:00004426!RIV08-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 546;565
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika
  • 2
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
  • 413643
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/07:00004426
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Chromatic; polynomial; q-binomial; counting; colored; Jones; function (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [1D3373C41138]
http://linked.open...i/riv/nazevZdroje
  • Advances in Mathematics
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
  • 211
http://linked.open...iv/tvurceVysledku
  • Loebl, Martin
http://linked.open...n/vavai/riv/zamer
issn
  • 0001-8708
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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