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  Connected Dominating Sets on Dynamic Geometric Graphs

Guibas, L., Milosavljevic, N., & Motskin, A. (2010). Connected Dominating Sets on Dynamic Geometric Graphs. In Proceedings of the 22nd Canadian Conference on Computational Geometry (pp. 27-30). Winnipeg, Canada: CCCG Library. Retrieved from http://cccg.ca/proceedings/2010/paper10.pdf.

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cds_cccg_electronic.pdf (beliebiger Volltext), 205KB
 
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 Urheber:
Guibas, Leonidas1, Autor
Milosavljevic, Nikola2, Autor           
Motskin, Arik1, Autor
Affiliations:
1External Organizations, ou_persistent22              
2Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Zusammenfassung: We propose algorithms for efficiently maintaining a constant-approximate minimum connected dominating set (MCDS) of a geometric graph under node insertions and deletions. Assuming that two nodes are adjacent in the graph iff they are within a fixed geometric distance, we show that an $O(1)$-approximate MCDS of a graph in $\R^d$ with $n$ nodes can be maintained with polylogarithmic (in $n$) work per node insertion/deletion as compared with $\Omega(n)$ work to maintain the optimal MCDS, even in the weaker kinetic setting. In our approach, we ensure that a topology change caused by inserting or deleting a node only affects the solution in a small neighborhood of that node, and show that a small set of range queries and bichromatic closest pair queries is then sufficient to efficiently repair the CDS.

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Sprache(n): eng - English
 Datum: 20102010
 Publikationsstatus: Erschienen
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 Identifikatoren: eDoc: 536749
URI: http://cccg.ca/proceedings/2010/paper10.pdf
Anderer: Local-ID: C1256428004B93B8-8620459737084BBEC12577FA0053C12E-Milosavljevic2009
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Veranstaltung

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Titel: 22nd Canadian Conference on Computational Geometry
Veranstaltungsort: Winnipeg, Manitoba, Canada
Start-/Enddatum: 2010-08-09 - 2010-08-11

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Titel: Proceedings of the 22nd Canadian Conference on Computational Geometry
  Kurztitel : CCCG 2010
Genre der Quelle: Konferenzband
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Ort, Verlag, Ausgabe: Winnipeg, Canada : CCCG Library
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 27 - 30 Identifikator: -