Persistent Homology of Collaboration Networks
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-04
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Over the past few decades, network science has introduced several statistical measures to determine the topological structure of large networks.
Initially, the focus was on binary networks, where edges are either present or not.
Thus, many of the earlier measures can only be applied to binary networks and not to weighted networks.
More recently, it has been shown that weighted networks have a rich structure, and several generalized measures have been introduced.
We use persistent homology, a recent technique from computational topology, to analyse four weighted collaboration networks.
We include the first and second Betti numbers for the first time for this type of analysis.
We show that persistent homology corresponds to tangible features of the networks.
Furthermore, we use it to distinguish the collaboration networks from similar random networks.
American Psychological Association (APA)
Carstens, C. J.& Horadam, K. J.. 2013. Persistent Homology of Collaboration Networks. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010822
Modern Language Association (MLA)
Carstens, C. J.& Horadam, K. J.. Persistent Homology of Collaboration Networks. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1010822
American Medical Association (AMA)
Carstens, C. J.& Horadam, K. J.. Persistent Homology of Collaboration Networks. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010822
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010822