Algorithms on Clustering, Orienteering, and Conflict -Free Coloring
Chen, Ke
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Permalink
https://hdl.handle.net/2142/81800
Description
Title
Algorithms on Clustering, Orienteering, and Conflict -Free Coloring
Author(s)
Chen, Ke
Issue Date
2007
Doctoral Committee Chair(s)
Har-Peled, Sariel
Department of Study
Computer Science
Discipline
Computer Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Computer Science
Language
eng
Abstract
In the last part, we present randomized algorithms for online conflict-free coloring of points in the plane, with respect to intervals, halfplanes, congruent disks, and nearly-equal axis-parallel rectangles. In all these cases, the coloring algorithms use O(log n) colors, with high probability. We also present the first efficient deterministic algorithm for the CF coloring of points in the plane with respect to nearly-equal axis-parallel rectangles, using O(log 12 n) colors.
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