| dc.contributor.author | Preciado, Victor M. | |
| dc.contributor.author | Verghese, George C. | |
| dc.date.accessioned | 2010-12-02T14:01:12Z | |
| dc.date.available | 2010-12-02T14:01:12Z | |
| dc.date.issued | 2008-08 | |
| dc.date.submitted | 2009-06 | |
| dc.identifier.issn | 1549-8328 | |
| dc.identifier.other | INSPEC Accession Number: 10729851 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/60051 | |
| dc.description.abstract | We study the eigenvalue distribution of the Kirchhoff matrix of a large-scale probabilistic network with a prescribed expected degree sequence. This spectrum plays a key role in many dynamical and structural network problems such as synchronization of a network of oscillators. We introduce analytical expressions for the first three moments of the eigenvalue distribution of the Kirchhoff matrix, as well as a probabilistic asymptotic analysis of these moments for a graph with a prescribed expected degree sequence. These results are applied to the analysis of synchronization in a large-scale probabilistic network of oscillators. | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Institute of Electrical and Electronics Engineers | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1109/tcsi.2009.2023758 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | IEEE | en_US |
| dc.title | Low-Order Spectral Analysis of the Kirchhoff Matrix for a Probabilistic Graph With a Prescribed Expected Degree Sequence | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Preciado, V.M., and G.C. Verghese. “Low-Order Spectral Analysis of the Kirchhoff Matrix for a Probabilistic Graph With a Prescribed Expected Degree Sequence.” Circuits and Systems I: Regular Papers, IEEE Transactions on 56.6 (2009): 1231-1240. © Copyright 2010 IEEE | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science | en_US |
| dc.contributor.approver | Verghese, George C. | |
| dc.contributor.mitauthor | Verghese, George C. | |
| dc.relation.journal | IEEE Transactions on Circuits and Systems I: Regular Papers | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Preciado, V.M.; Verghese, G.C. | en |
| dc.identifier.orcid | https://orcid.org/0000-0002-5930-7694 | |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
