Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quasisymmetric function generalization of the chromatic symmetric
  function   The chromatic symmetric function $X_G$ of a graph $G$ was introduced by
Stanley. In this paper we introduce a quasisymmetric generalization $X^k_G$
called the $k$-chromatic quasisymmetric function of $G$ and show that it is
positive in the fundamental basis for the quasisymmetric functions. Following
the specialization of $X_G$ to $\chi_G(\lambda)$, the chromatic polynomial, we
also define a generalization $\chi^k_G(\lambda)$ and show that evaluations of
this polynomial for negative values generalize a theorem of Stanley relating
acyclic orientations to the chromatic polynomial.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org