Structure and dynamics of social bipartite and projected networks

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dc.contributor.advisor O'Neale, D en
dc.contributor.advisor Hendy, S en
dc.contributor.author Vasques Filho, Demival en
dc.date.accessioned 2019-03-27T20:22:49Z en
dc.date.issued 2018 en
dc.identifier.uri http://hdl.handle.net/2292/46294 en
dc.description.abstract Networks have become ubiquitous across many areas of knowledge. Their popularity comes from the fact that, apart from the variety of the nature of the systems, they present similar architecture governed by universal properties. Moreover, networks function as a skeleton, by mapping the interactions between the elements of the system translated into nodes and links. We can use networks to represent even more complicated systems, e.g. those with elements of two different types. For such cases, we use bipartite networks. Despite their importance for the analysis of complex systems, bipartite networks are often neglected. In general, one-mode versions of the bipartite network are created using the preferred node type. However, such versions— one-mode projected networks — inherently present a loss of information, which would most likely result in impaired analysis. The goal of this thesis is to provide further knowledge about the structure of bipartite networks and, more importantly, how it affects the structural properties of projected networks. First, we show the causality between the degree distributions of bipartite networks and the resulting degree distribution of projected networks. Also, we find that the bipartite degree distributions are not the only feature driving topology formation in projected networks. Thus, we move forward to another network structural feature: small cycles. They represent types of clustering in bipartite networks and directly affect the projected network structure. We use empirical and synthetic networks to show that while four-cycles indicate recurrence of links between a pair of nodes in the projections, six-cycles — representation of transitivity— affect clustering levels. Third, we introduce the dynamics of network growth. We use extensive datasets to study the evolution of the structure of scientific collaboration networks. We create a comprehensive mapping of how several network structural properties evolve over time. Finally, we propose a generative model for bipartite networks. It is a bipartite extension of a model previously designed for one-mode networks. We show that with the proper adaptation, the model can assess the fundamental structural properties that we have studied throughout the thesis, reproducing both bipartite and projected network features. en
dc.publisher ResearchSpace@Auckland en
dc.relation.ispartof PhD Thesis - University of Auckland en
dc.relation.isreferencedby UoA99265146211902091 en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/nz/ en
dc.title Structure and dynamics of social bipartite and projected networks en
dc.type Thesis en
thesis.degree.discipline Physics en
thesis.degree.grantor The University of Auckland en
thesis.degree.level Doctoral en
thesis.degree.name PhD en
dc.rights.holder Copyright: The author en
dc.rights.accessrights http://purl.org/eprint/accessRights/OpenAccess en
pubs.elements-id 766971 en
pubs.record-created-at-source-date 2019-03-28 en


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http://creativecommons.org/licenses/by-nc-sa/3.0/nz/ Except where otherwise noted, this item's license is described as http://creativecommons.org/licenses/by-nc-sa/3.0/nz/

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