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A concept of weighted connectivity on connected graphs
| dc.contributor.author | Amer Ramon, Rafael |
| dc.contributor.author | Giménez Pradales, José Miguel |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
| dc.date.accessioned | 2010-10-05T15:05:38Z |
| dc.date.available | 2010-10-05T15:05:38Z |
| dc.date.created | 2009-02 |
| dc.date.issued | 2009-02 |
| dc.identifier.citation | Amer, R.; Giménez, J. A concept of weighted connectivity on connected graphs. "Aplimat : Journal of Applied Mathematics", Febrer 2009, vol. 2, núm. 1, p. 15-21. |
| dc.identifier.issn | 1337-6365 |
| dc.identifier.uri | http://hdl.handle.net/2117/9366 |
| dc.description.abstract | The introduction of a {0,1}-valued game associated to a connected graph allows us to assign to each node a value of weighted connectivity to the different solutions that for the cooperative games are obtained by means of the semivalues. The marginal contributions of each node to the coalitions differentiate an active connectivity from another reactive connectivity, according to whether the node is essential to obtain the connection or it is the obstacle for the connection between the nodes in the coalition. Diverse properties of this concept of connectivity can be derived. |
| dc.format.extent | 7 p. |
| dc.language.iso | eng |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
| dc.subject.lcsh | Game theory |
| dc.subject.lcsh | Applied mathematics |
| dc.title | A concept of weighted connectivity on connected graphs |
| dc.type | Article |
| dc.subject.lemac | Matemàtica aplicada |
| dc.subject.lemac | Jocs, Teoria de |
| dc.contributor.group | Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
| dc.description.peerreviewed | Peer Reviewed |
| dc.relation.publisherversion | http://journal.aplimat.com/ |
| dc.rights.access | Open Access |
| local.identifier.drac | 758170 |
| dc.description.version | Postprint (author’s final draft) |
| local.citation.author | Amer, R.; Giménez, J. |
| local.citation.publicationName | Aplimat : Journal of Applied Mathematics |
| local.citation.volume | 2 |
| local.citation.number | 1 |
| local.citation.startingPage | 15 |
| local.citation.endingPage | 21 |
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