Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Laplacian Spectra of Commuting Graphs   We describe the spectrum of the Laplacian matrix of the commuting graph
associated to a finite group, using group theoretic information. Various graph
invariants (such as diameter, isoperimetric number, clique number, mean
distance) of the commuting graph associated to a finite group are determined.
We produce a number of examples to illustrate applications of our results.

3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th