Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimating the number of communities in a network   Community detection, the division of a network into dense subnetworks with
only sparse connections between them, has been a topic of vigorous study in
recent years. However, while there exist a range of powerful and flexible
methods for dividing a network into a specified number of communities, it is an
open question how to determine exactly how many communities one should use.
Here we describe a mathematically principled approach for finding the number of
communities in a network using a maximum-likelihood method. We demonstrate the
approach on a range of real-world examples with known community structure,
finding that it is able to determine the number of communities correctly in
every case.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn