Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Melting lollipop chromatic quasisymmetric functions and Schur expansion
  of unicellular LLT polynomials   In this work, we generalize and utilize the linear relations of LLT
polynomials introduced by Lee \cite{Lee}. By using the fact that the chromatic
quasisymmetric functions and the unicellular LLT polynomials are related via
plethystic substitution and thus they satisfy the same linear relations, we can
apply the linear relations to both sets of functions.
  As a result, in the chromatic quasisymmetric function side, we find a class
of $e$-positive graphs, called \emph{melting lollipop graphs}, and explicitly
prove the $e$-unimodality. In the unicellular LLT side, we obtain Schur
expansion formulas for LLT polynomials corresponding to certain set of graphs,
namely, complete graphs, path graphs, lollipop graphs and melting lollipop
graphs.

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The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th