Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Persistent Homology of Complex Networks   Long lived topological features are distinguished from short lived ones
(considered as topological noise) in simplicial complexes constructed from
complex networks. A new topological invariant, persistent homology, is
determined and presented as a parametrized version of a Betti number. Complex
networks with distinct degree distributions exhibit distinct persistent
topological features. Persistent toplogical attributes, shown to be related to
robust quality of networks, also reflect defficiency in certain connectivity
properites of networks. Random networks, networks with exponential conectivity
distribution and scale-free networks were considered for homological
persistency analysis.

0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga