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The betweenness centrality of a graph
dc.contributor.author | Gago Álvarez, Silvia |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2007-05-10T13:40:03Z |
dc.date.available | 2007-05-10T13:40:03Z |
dc.date.issued | 2007-05-10 |
dc.identifier.uri | http://hdl.handle.net/2117/972 |
dc.description.abstract | A measure of the centrality of a vertex of a graph is the portion of shortest paths crossing through it between other vertices of the graph. This is called betweenness centrality and here we study some of its general properties, relations with distance parameters (diameter, mean distance), local parameters, symmetries, etc. Some bounds for this parameter are obtained, using them to improve known bounds for the mean distance of the graph. |
dc.format.extent | 11 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Graph theory |
dc.subject.other | betweenness |
dc.subject.other | mean distance |
dc.subject.other | diameter |
dc.subject.other | bounds |
dc.title | The betweenness centrality of a graph |
dc.type | Article |
dc.subject.lemac | Teoria de grafs |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.rights.access | Open Access |
dc.relation.projectidctt | TEC2005-03575 |
local.personalitzacitacio | true |
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