"Chromatic polynomial, q-binomial counting and colored Jones function"@en . "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 . . . . "211" . . "Chromatic polynomial, q-binomial counting and colored Jones function" . . . "Loebl, Martin" . "Definujeme q-chromatickou funkci na grafech a srovn\u00E1v\u00E1me ji s existuj\u00EDc\u00EDmi grafov\u00FDmi funkcemi. D\u00E1le ukazujeme souvislost mezi touto funkc\u00ED a obarvenou Jonesovou funkc\u00ED uzl\u016F. Odtud ovod\u00EDme zaj\u00EDmav\u00E9 vyj\u00E1d\u0159en\u00ED Jonesovy funkce uzlov\u00E9ho diagramu jako chromatick\u00E9ho oper\u00E1toru aplikovan\u00E9ho na mocninnou \u0159adu, jej\u00ED\u017E koeficienty jsou line\u00E1rn\u00ED kombinace chordov\u00FDch diagram\u016F."@cs . "Advances in Mathematics" . "1"^^ . "Chromatic polynomial, q-binomial counting and colored Jones function" . "P(1M0545), Z(MSM0021620838)" . "RIV/00216208:11320/07:00004426" . "1"^^ . . "2" . . "546;565" . . "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." . . "[1D3373C41138]" . "Chromatick\u00FD polynom, q-binomick\u00E9 po\u010D\u00EDt\u00E1n\u00ED a obarven\u00E1 Jonesova funkce"@cs . "0001-8708" . "Chromatick\u00FD polynom, q-binomick\u00E9 po\u010D\u00EDt\u00E1n\u00ED a obarven\u00E1 Jonesova funkce"@cs . "Chromatic; polynomial; q-binomial; counting; colored; Jones; function"@en . "413643" . . . . . "Chromatic polynomial, q-binomial counting and colored Jones function"@en . . . . . . "20"^^ . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "RIV/00216208:11320/07:00004426!RIV08-MSM-11320___" . . "11320" . .