Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modularity measure of networks with overlapping communities   In this paper we introduce a non-fuzzy measure which has been designed to
rank the partitions of a network's nodes into overlapping communities. Such a
measure can be useful for both quantifying clusters detected by various methods
and during finding the overlapping community-structure by optimization methods.
The theoretical problem referring to the separation of overlapping modules is
discussed, and an example for possible applications is given as well.

24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys