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Erschienen in: Social Network Analysis and Mining 1/2017

01.12.2017 | Original Article

Over-time measurement of triadic closure in coauthorship networks

verfasst von: Jinseok Kim, Jana Diesner

Erschienen in: Social Network Analysis and Mining | Ausgabe 1/2017

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Abstract

Applying the concept of triadic closure to coauthorship networks means that scholars are likely to publish a joint paper if they have previously coauthored with the same people. Prior research has identified moderate to high (20 to 40%) closure rates; suggesting this mechanism is a reasonable explanation for tie formation between future coauthors. We show how calculating triadic closure based on prior operationalizations of closure, namely Newman’s measure for one-mode networks (NCC) and Opsahl’s measure for two-mode networks (OCC) may lead to higher amounts of closure compared to measuring closure over time via a metric that we introduce and test in this paper. Based on empirical experiments using four large-scale, longitudinal datasets, we find a lower bound of 1–3% closure rates and an upper bound of 4–7%. These results motivate research on new explanatory factors for the formation of coauthorship links.

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Fußnoten
1
Transitivity seems to be associated more commonly with directed networks (Wasserman and Faust 1994) than with undirected ones. Many network research papers and software packages implementing the Newman metric (2001b) still use transitivity to refer to triadic closure.
 
2
The triadic closure contains three cases of 2-path closure: (1) Y–X–Z closed by Y–Z, (2) X–Z–Y closed by Y–X, and (3) Z–Y–X closed by X–Z. This also applies to Case 2 in Table 2.
 
3
The triadic closure contains three cases of 4-path closure: (1) Y–A–X–B–Z closed by Y–C–Z, (2) X–B–Z–C–Y closed by Y–A–X, and (3) Z–C–Y–A–X closed by X–B–Z.
 
4
Although calculated against the same dataset, the clustering coefficient by the Newman (2001b) method in Opsahl (2013) is 0.3596, while the one in Newman (2001b) is 0.348.
 
5
Opsahl (2013) never uses the clustering coefficient defined for two-mode networks as an indicator of the probability of two scientists collaborating when they have a third coauthor in common.
 
7
The list of 392 journals was obtained from Thomson Reuters Journal Citation Report 2012 for the Computer Science category. Then, those journals’ names and papers published in these journals were searched for in DBLP.
 
11
The 4-path in Case 1 is Y–A–X–B–Z. The 4-paths in Case 2 are: (1) Y–A–X–B–Z, (2) Y–A–W–B–Z, and (3) Y–C–X–B–Z.
 
12
In 2010, OCC (0.34) surpasses NCC (0.33).
 
13
4-paths by OCC: (1) Y–B–X–C–Z (closed by Z–D–Y), (2) Y–A–X–C–Z (closed by Z–D–Y), (3) X–C–Z–D–Y (closed by Y–A–X or Y–B–X), (4) Z–D–Y–A–X (closed by X–C–Z), (5) Z–D–Y–B–X (closed by X–C–Z), (6) X–C–Z–E–W, and (7) W–E–Z–D–Y.
 
14
2-paths by NCC: (1) Y–X–Z (Y–Z), (2) X–Z–Y (Y–Z), (3) Z–Y–X (X–Z), (4) W–Z–X, and (5) W–Z–Y.
 
15
4-paths by TCC: (1) Y–A and B–X–C–Z (closed by Z–D–Y) and (2) X–C–Z–E–W.
 
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Metadaten
Titel
Over-time measurement of triadic closure in coauthorship networks
verfasst von
Jinseok Kim
Jana Diesner
Publikationsdatum
01.12.2017
Verlag
Springer Vienna
Erschienen in
Social Network Analysis and Mining / Ausgabe 1/2017
Print ISSN: 1869-5450
Elektronische ISSN: 1869-5469
DOI
https://doi.org/10.1007/s13278-017-0428-3

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