Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix integrals and generating functions for permutations and one-face
  rooted hypermaps   Closed-form generating functions for counting one-face rooted hypermaps with
a known number of darts by number of vertices and edges is found, using matrix
integral expressions relating to the reduced density operator of a bipartite
quantum system. A recursion relation for these generating functions is also
found. The method for computing similar generating functions for two-face
rooted hypermaps by number of vertices and edges is outlined.

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The categories of this paper are: eess
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex