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Degree correlations in graphs with clique clustering
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dc.contributor.author | Mann, Peter Stephen | |
dc.contributor.author | Smith, V.A. | |
dc.contributor.author | Mitchell, John B. O. | |
dc.contributor.author | Dobson, Simon Andrew | |
dc.date.accessioned | 2022-03-29T14:31:06Z | |
dc.date.available | 2022-03-29T14:31:06Z | |
dc.date.issued | 2022-04-30 | |
dc.identifier.citation | Mann , P S , Smith , V A , Mitchell , J B O & Dobson , S A 2022 , ' Degree correlations in graphs with clique clustering ' , Physical Review. E, Statistical, nonlinear, and soft matter physics , vol. 105 , no. 4 , 044314 . https://doi.org/10.1103/PhysRevE.105.044314 | en |
dc.identifier.issn | 1539-3755 | |
dc.identifier.other | PURE: 278575493 | |
dc.identifier.other | PURE UUID: 90edc09f-3c75-4e57-9984-5caad87412f6 | |
dc.identifier.other | ORCID: /0000-0002-0379-6097/work/111970981 | |
dc.identifier.other | ORCID: /0000-0002-0487-2469/work/111971951 | |
dc.identifier.other | ORCID: /0000-0001-9633-2103/work/111972182 | |
dc.identifier.other | Scopus: 85128857791 | |
dc.identifier.other | WOS: 000798356200007 | |
dc.identifier.uri | http://hdl.handle.net/10023/25122 | |
dc.description | Funding: This work was partially supported by the UK Engineering and Physical Sciences Research Council under grant number EP/N007565/1 (Science of Sensor Systems Software). | en |
dc.description.abstract | Correlations among the degrees of nodes in random graphs often occur when clustering is present. In this paper we define a joint-degree correlation function for nodes in the giant component of clustered configuration model networks which are comprised of higher-order subgraphs. We use this model to investigate, in detail, the organisation among nearest-neighbour subgraphs for random graphs as a function of subgraph topology as well as clustering. We find an expression for the average joint degree of a neighbour in the giant component at the critical point for these networks. Finally, we introduce a novel edge-disjoint clique decomposition algorithm and investigate the correlations between the subgraphs of empirical networks. | |
dc.format.extent | 14 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physical Review. E, Statistical, nonlinear, and soft matter physics | en |
dc.rights | Copyright © 2022 American Physical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1103/PhysRevE.105.044314. | en |
dc.subject | Complex networks | en |
dc.subject | Clustering | en |
dc.subject | QA Mathematics | en |
dc.subject | QA75 Electronic computers. Computer science | en |
dc.subject | QC Physics | en |
dc.subject | T-NDAS | en |
dc.subject | MCC | en |
dc.subject.lcc | QA | en |
dc.subject.lcc | QA75 | en |
dc.subject.lcc | QC | en |
dc.title | Degree correlations in graphs with clique clustering | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.description.version | Postprint | en |
dc.contributor.institution | University of St Andrews. School of Computer Science | en |
dc.contributor.institution | University of St Andrews. St Andrews Bioinformatics Unit | en |
dc.contributor.institution | University of St Andrews. Office of the Principal | en |
dc.contributor.institution | University of St Andrews. St Andrews Centre for Exoplanet Science | en |
dc.contributor.institution | University of St Andrews. Centre for Biological Diversity | en |
dc.contributor.institution | University of St Andrews. Centre for Higher Education Research | en |
dc.contributor.institution | University of St Andrews. Scottish Oceans Institute | en |
dc.contributor.institution | University of St Andrews. Institute of Behavioural and Neural Sciences | en |
dc.contributor.institution | University of St Andrews. School of Biology | en |
dc.contributor.institution | University of St Andrews. EaSTCHEM | en |
dc.contributor.institution | University of St Andrews. Biomedical Sciences Research Complex | en |
dc.contributor.institution | University of St Andrews. School of Chemistry | en |
dc.contributor.institution | University of St Andrews. Sir James Mackenzie Institute for Early Diagnosis | en |
dc.identifier.doi | https://doi.org/10.1103/PhysRevE.105.044314 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | EP/N007565/1 | en |
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