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dc.contributor | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
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dc.contributor | Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
dc.contributor | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.contributor.author | Hernando Martín, María del Carmen |
dc.contributor.author | Mora Giné, Mercè |
dc.contributor.author | Pelayo Melero, Ignacio Manuel |
dc.date | 2016-03-05 |
dc.identifier.citation | Hernando, M., Mora, M., Pelayo, I. M. "On the Partition Dimension and the Twin Number of a Graph". 2016. |
dc.identifier.uri | http://hdl.handle.net/2117/87267 |
dc.description.abstract | A partition of the vertex set of a connected graph G is a locating partition of G if every vertex is uniquely determined by its vector of distances to the elements of . The partition dimension of G is the minimum cardinality of a locating partition of G . A pair of vertices u;v of a graph G are called twins if they have exactly the same set of neighbors other than u and v . A twin class is a maximal set of pairwise twin vertices. The twin number of a graph G is the maximum cardinality of a twin class of G . In this paper we undertake the study of the partition dimension of a graph by also considering its twin number. This approach allows us to obtain the set of connected graphs of order n 9 having partition dimension n |
dc.language.iso | eng |
dc.relation | http://arxiv.org/pdf/1602.08907v3.pdf |
dc.rights | info:eu-repo/semantics/openAccess |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject | Graph theory |
dc.subject | locating set |
dc.subject | locating partition |
dc.subject | metric dimension |
dc.subject | partition dimension |
dc.subject | twin number |
dc.subject | Grafs, Teoria de |
dc.title | On the Partition Dimension and the Twin Number of a Graph |
dc.type | info:eu-repo/semantics/publishedVersion |
dc.type | info:eu-repo/semantics/report |