Chromatic Polynomial, Colered Jones Function and q-Binomial Counting

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dc.creatorLoebl, Martin
dc.date2004-12-22
dc.date.accessioned2026-07-07T05:15:36Z
dc.date.available2026-07-07T05:15:36Z
dc.descriptionWe define a q-chromatic function on graphs, list some of its properties and provide some formulas in the class of general chordal graphs. Then we 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 'defected chromatic operator' applied to a power series whose coefficients are linear combinations of chord diagrams constructed from 'flows' on the reduced knot diagram.
dc.identifierhttps://arxiv.org/abs/math/0412460
dc.identifierhttp://arxiv.org/abs/math/0412460
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73682
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subject05A30; 57N10
dc.titleChromatic Polynomial, Colered Jones Function and q-Binomial Counting
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