Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/629
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Logistics and Maritime Studies | - |
dc.creator | Kang, L | - |
dc.creator | Sohn, MY | - |
dc.creator | Cheng, TCE | - |
dc.date.accessioned | 2014-12-11T08:24:42Z | - |
dc.date.available | 2014-12-11T08:24:42Z | - |
dc.identifier.issn | 0304-3975 | - |
dc.identifier.uri | http://hdl.handle.net/10397/629 | - |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | Theoretical Computer Science © 2004 Elsevier B.V. The journal web site is located at http://www.sciencedirect.com. | en_US |
dc.subject | Domination | en_US |
dc.subject | Inflated graphs | en_US |
dc.subject | Perfect matching | en_US |
dc.title | Paired-domination in inflated graphs | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 485 | - |
dc.identifier.epage | 494 | - |
dc.identifier.volume | 320 | - |
dc.identifier.issue | 2-3 | - |
dc.identifier.doi | 10.1016/j.tcs.2004.02.028 | - |
dcterms.abstract | The inflation G[sub I] of a graph G with n(G) vertices and m(G) edges is obtained from G by replacing every vertex of degree d of G by a clique K[sub d]. A set S of vertices in a graph G is a paired dominating set of G if every vertex of G is adjacent to some vertex in S and if the subgraph induced by S contains a perfect matching. The paired domination number γ[sub p](G) is the minimum cardinality of a paired dominating set of G. In this paper, we show that if a graph G has a minimum degree δ(G)≥2, then n(G)≤γ[sub p](GI)≤4m(G)/[δ(G)+1], and the equality γ[sub p](GI)=n(G) holds if and only if G has a perfect matching. In addition, we present a linear time algorithm to compute a minimum paired-dominating set for an inflation tree. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Theoretical computer science, June 2004, v. 320, no. 2-3, p. 485-494 | - |
dcterms.isPartOf | Theoretical computer science | - |
dcterms.issued | 2004-06 | - |
dc.identifier.isi | WOS:000221936000018 | - |
dc.identifier.scopus | 2-s2.0-2442688342 | - |
dc.identifier.rosgroupid | r18571 | - |
dc.description.ros | 2003-2004 > Academic research: refereed > Publication in refereed journal | - |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
inflatC.pdf | Pre-published version | 178.74 kB | Adobe PDF | View/Open |
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