Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Corrected overlap weight and clustering coefficient   We discuss two well known network measures: the overlap weight of an edge and
the clustering coefficient of a node. For both of them it turns out that they
are not very useful for data analytic task to identify important elements
(nodes or links) of a given network. The reason for this is that they attain
their largest values on maximal subgraphs of relatively small size that are
more probable to appear in a network than that of larger size. We show how the
definitions of these measures can be corrected in such a way that they give the
expected results. We illustrate the proposed corrected measures by applying
them on the US Airports network using the program Pajek.

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The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
2
The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph