Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological Scaffold via Minimal Homology Bases   The homological scaffold leverages persistent homology to construct a
topologically sound summary of a weighted network. However, its crucial
dependency on the choice of representative cycles hinders the ability to trace
back global features onto individual network components, unless one provides a
principled way to make such a choice. In this paper, we apply recent advances
in the computation of minimal homology bases to introduce a quasi-canonical
version of the scaffold, called minimal, and employ it to analyze data both
real and in silico. At the same time, we verify that, statistically, the
standard scaffold is a good proxy of the minimal one for sufficiently complex
networks.

15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph