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dc.contributor.advisorDobson, Simon
dc.contributor.authorMann, Peter Stephen
dc.coverage.spatialxi, 163 p.en_US
dc.description.abstractIn this thesis we relax the locally tree-like assumption of configuration model random networks to examine the properties of clustering, and the effects thereof, on bond percolation. We introduce an algorithmic enumeration method to evaluate the probability that a vertex remains unattached to the giant connected component during percolation. The properties of the non-giant, finite components of clustered networks are also examined, along with the degree correlations between subgraphs. In a second avenue of research, we investigate the role of clustering on 2-strain epidemic processes under various disease interaction schedules. We then examine an 𝑁-generation epidemic by performing repeated percolation events.en_US
dc.publisherUniversity of St Andrews
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.titleOn the use of generating functions for topics in clustered networksen_US
dc.contributor.sponsorUniversity of St Andrews. School of Chemistryen_US
dc.contributor.sponsorUniversity of St Andrews. School of Biologyen_US
dc.type.qualificationnamePhD Doctor of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US

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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
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