Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An entropy-based, scale-dependent centrality   In this article we introduce an entropy-based, scale-dependent centrality
that is evaluated as the Shannon entropy of the distribution at time t of a
continuous-time random walk. It ranks nodes as a function of the time t, which
acts as a parameter and defines the scale of the network. It is able capture
well-known centralities such as degree, eigenvector and closeness depending on
the range of t. We compare it with the broad class of total $f$-communicability
centralities, of which both Katz centrality and total communicability are
particular cases.

20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph