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Graphs with equal domination and 2-domination numbers
dc.contributor.author | Hansberg, Adriana |
dc.date.accessioned | 2011-05-09T15:01:00Z |
dc.date.available | 2011-05-09T15:01:00Z |
dc.date.issued | 2011 |
dc.identifier.citation | Hansberg, Adriana. Graphs with equal domination and 2-domination numbers. 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. 285-293. |
dc.identifier.isbn | 978-84-7653-565-3 |
dc.identifier.uri | http://hdl.handle.net/2099/10369 |
dc.description.abstract | For a graph G a subset D of the vertex set of G is a k-dominating set if every vertex not in D has at least k neighbors in D. The k-domination number γk(G) is the minimum cardinality among the k-dominating sets of G. Note that the 1-domination number $γ_1(G)$ is the usual domination number γ(G). Fink and Jacobson showed in 1985 that the inequality γk(G) ≥ γ(G)+k−2 is valid for every connected graph G. In this paper, we recompile results concerning the case k = 2, where γk can be equal to γ. In particular, we present the characterization of different graph classes with equal domination and 2-domination numbers as are the cactus graphs, the claw-free graphs and the line graphs. |
dc.format.extent | 9 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 | Graph theory |
dc.subject.lcsh | Graph connectivity |
dc.subject.lcsh | Discrete geometry |
dc.title | Graphs with equal domination and 2-domination numbers |
dc.type | Conference report |
dc.subject.lemac | Grafs, Teoria de |
dc.subject.lemac | Geometria discreta |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.rights.access | Open Access |
local.citation.author | Hansberg, Adriana |
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 | 285 |
local.citation.endingPage | 293 |
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Aquest ítem apareix a les col·leccions següents
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3er. 2010 [27]
Facultat de Matemàtiques i Estadística, Universitat Politècnica de Catalunya, Barcelona, 9-11 June 2010