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  Conflict-Free Colorings of Rectangle Ranges

Elbassioni, K., & Mustafa, N. H. (2006). Conflict-Free Colorings of Rectangle Ranges. In STACS 2006, 23rd Annual Symposium on Theoretical Aspects of Computer Science (pp. 254-263). Berlin, Germany: Springer.

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 Urheber:
Elbassioni, Khaled1, Autor           
Mustafa, Nabil H.1, Autor           
Durand, Bruno, Herausgeber
Thomas, Wolfgang, Herausgeber
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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Schlagwörter: -
 Zusammenfassung: Given the range space , where P is a set of n points in and is the family of subsets of P induced by all axis-parallel rectangles, the conflict-free coloring problem asks for a coloring of P with the minimum number of colors such that is conflict-free. We study the following question: Given P, is it possible to add a small set of points Q such that can be colored with fewer colors than ? Our main result is the following: given P, and any , one can always add a set Q of points such that P ∪ Q can be conflict-free colored using 1 colors. Moreover, the set Q and the conflict-free coloring can be computed in polynomial time, with high probability. Our result is obtained by introducing a general probabilistic re-coloring technique, which we call quasi-conflict-free coloring, and which may be of independent interest. A further application of this technique is also given.

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Sprache(n): eng - English
 Datum: 2007-02-102006
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: eDoc: 314414
Anderer: Local-ID: C1256428004B93B8-90A328888CEF8DE0C125714700037628-Elbassioni2006b
 Art des Abschluß: -

Veranstaltung

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Titel: Untitled Event
Veranstaltungsort: Marseille, France
Start-/Enddatum: 2006-02-23

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Titel: STACS 2006, 23rd Annual Symposium on Theoretical Aspects of Computer Science
Genre der Quelle: Konferenzband
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Berlin, Germany : Springer
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 254 - 263 Identifikator: -

Quelle 2

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Titel: Lecture Notes in Computer Science
Genre der Quelle: Reihe
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 3884 Artikelnummer: - Start- / Endseite: - Identifikator: -