Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algebraic Monte-Carlo algorithm for the Partition Adjacency Matrix
  realization problem   The graphical realization of a given degree sequence and given partition
adjacency matrix simultaneously is a relevant problem in data driven modeling
of networks. Here we formulate common generalizations of this problem and the
Exact Matching Problem, and solve them with an algebraic Monte-Carlo algorithm
that runs in polynomial time if the number of partition classes is bounded.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics