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Fiedler’s Clustering on m-dimensional Lattice Graphs
| dc.contributor.author | Trajanovski, Stojan |
| dc.contributor.author | Mieghem, Piet Van |
| dc.date.accessioned | 2011-05-12T10:46:55Z |
| dc.date.available | 2011-05-12T10:46:55Z |
| dc.date.issued | 2011 |
| dc.identifier.citation | Trajanovski, Stojan; Mieghem, Piet Van. Fiedler’s Clustering on m-dimensional Lattice Graphs. A: International Workshop on Optimal Networks Topologies. "Proceedings of the 3rd International Workshop on Optimal Networks Topologies IWONT 2010". Barcelona: Iniciativa Digital Politècnica, 2011, p. 361-371. |
| dc.identifier.isbn | 978-84-7653-565-3 |
| dc.identifier.uri | http://hdl.handle.net/2099/10384 |
| dc.description.abstract | We consider the partitioning of m-dimensional lattice graphs using Fiedler’s approach [1], that requires the determination of the eigenvector belonging to the second smallest eigenvalue of the Laplacian. We examine the general m-dimensional lattice and, in particular, the special cases: the 1-dimensional path graph $P_N$ and the 2-dimensional lattice graph. We determine the size of the clusters and the number of links, which are cut by this partitioning as a function of Fiedler’s threshold α. |
| dc.format.extent | 11 p. |
| dc.language.iso | eng |
| dc.publisher | Iniciativa Digital Politècnica |
| dc.relation.ispartof | International Workshop on Optimal Networks Topologies |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs |
| dc.subject.lcsh | Eigenvectors |
| dc.subject.lcsh | Graph theory |
| dc.title | Fiedler’s Clustering on m-dimensional Lattice Graphs |
| dc.type | Conference report |
| dc.subject.lemac | Valors propis |
| dc.subject.lemac | Grafs, Teoria de |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
| dc.rights.access | Open Access |
| local.citation.author | Trajanovski, Stojan; Mieghem, Piet Van |
| local.citation.contributor | International Workshop on Optimal Networks Topologies |
| local.citation.pubplace | Barcelona |
| local.citation.publicationName | Proceedings of the 3rd International Workshop on Optimal Networks Topologies IWONT 2010 |
| local.citation.startingPage | 361 |
| local.citation.endingPage | 371 |
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3er. 2010 [27]
Facultat de Matemàtiques i Estadística, Universitat Politècnica de Catalunya, Barcelona, 9-11 June 2010