Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Bounds for the Signless Laplacian Spread   Let $G$ be a simple graph. The signless Laplacian spread of $G$ is defined as
the maximum distance of pairs of its signless Laplacian eigenvalues. This paper
establishes some new bounds, both lower and upper, for the signless Laplacian
spread. Several of these bounds depend on invariant parameters of the graph. We
also use a minmax principle to find several lower bounds for this spectral
invariant.

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The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph