Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Categorifications of the Chromatic and the Dichromatic Polynomials
  for Graphs   In this paper, for each graph $G$, we def\mbox{}ine a chain complex of graded
modules over the ring of polynomials, whose graded Euler characteristic is
equal to the chromatic polynomial of $G$. Furthermore, we def\mbox{}ine a chain
complex of doubly-graded modules, whose (doubly) graded Euler characteristic is
equal to the dichromatic polynomial of $G$. Both constructions use Koszul
complexes, and are similar to the new Khovanov-Rozansky
categorif\mbox{}ications of HOMFLYPT polynomial. We also give simplif\mbox{}ied
def\mbox{}inition of this triply-graded link homology theory.

30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int