کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4667717 1345475 2007 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Chromatic polynomial, q-binomial counting and colored Jones function
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Chromatic polynomial, q-binomial counting and colored Jones function
چکیده انگلیسی

We define a q-chromatic function and q-dichromate on graphs and compare it with existing graph functions. Then we study in more detail the class of general chordal graphs. This is partly motivated by the graph isomorphism problem. Finally 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 K as a chromatic operator applied to a power series whose coefficients are linear combinations of long chord diagrams. Chromatic operators are directly related to weight systems by the work of Chmutov, Duzhin, Lando and Noble, Welsh.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 211, Issue 2, 1 June 2007, Pages 546-565