Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Laplacian Immanantal polynomials and the GTS poset on Trees   Let $T$ be a tree on $n$ vertices with Laplacian $L_T$ and let $GTS_n$ be the
generalized tree shift poset on the set of unlabelled trees on $n$ vertices.
Inequalities are known for coefficients of the characteristic polynomial of
$L_T$ as we go up the poset $GTS_n$. In this work, we generalize these
inequalities to the $q$-Laplacian $L^q_T$ of $T$ and to the coefficients of all
immanantal polynomials.

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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th