Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The attack tolerance of community structure in complex networks   Robustness is an important property of complex networks. Up to now, there are
plentiful researches focusing on the network's robustness containing error and
attack tolerance of network's connectivity and the shortest path. In this
paper, the error and attack tolerance of network's community structure are
studies through randomly and purposely disturbing interaction of networks. Two
purposely perturbation methods are designed, that one methods is based on
cluster coefficient and the other is attacking triangle. Dissimilarity function
D is used to quantify the changes of community structure and modularity Q is
used to quantify the significance of community structure. The numerical results
show that after perturbation, network's community structure is damaged to be
more unclear. It is also discovered that purposely attacking damages more to
the community structure than randomly attacking.

14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg