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Completion and decomposition of hypergraphs into dominating sets of graphs
dc.contributor.author | Martí Farré, Jaume |
dc.contributor.author | Mora Giné, Mercè |
dc.contributor.author | Ruiz Muñoz, José Luis |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2016-01-25T09:39:08Z |
dc.date.available | 2017-11-01T01:30:30Z |
dc.date.issued | 2015-11 |
dc.identifier.citation | Martí-Farré, J., Mora, M., Ruiz, J. Completion and decomposition of hypergraphs into dominating sets of graphs. "Electronic notes in discrete mathematics", Novembre 2015, vol. 49, p. 213-220. |
dc.identifier.issn | 1571-0653 |
dc.identifier.uri | http://hdl.handle.net/2117/81940 |
dc.description.abstract | The collection of the vertex dominating sets of a graph defines a hypergraph on the set of vertices of the graph. However, there are hypergraphs H that are not the collection of the vertex dominating sets of any graph. This paper deals with the question of completing these hypergraphs H to the vertex dominating sets of some graphs G. We demonstrate that such graphs G exist and, in addition, we prove that these graphs define a poset whose minimal elements provide a decomposition of H. Moreover, we show that the hypergraph H is uniquely determined by the minimal elements of this poset. The computation of such minimal elements is also discussed in some cases. |
dc.format.extent | 8 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs |
dc.subject.lcsh | Graph theory |
dc.subject.other | Graph |
dc.subject.other | hypergraph |
dc.subject.other | dominating set |
dc.title | Completion and decomposition of hypergraphs into dominating sets of graphs |
dc.type | Article |
dc.subject.lemac | Grafs, Teoria de |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.contributor.group | Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
dc.identifier.doi | 10.1016/j.endm.2015.06.031 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.rights.access | Open Access |
local.identifier.drac | 17389274 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Martí-Farré, J.; Mora, M.; Ruiz, J. |
local.citation.publicationName | Electronic notes in discrete mathematics |
local.citation.volume | 49 |
local.citation.startingPage | 213 |
local.citation.endingPage | 220 |
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