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| Universität Bonn -> Institut für Informatik -> Abteilung V | ||
| CS-Reports 2014 | Copyright 2014 Universität Bonn, Institut für Informatik, Abt. V | |
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85350 29.09.2014 |
A QPTAS for the Base of the Number of Triangulations of a Planar Point Set
Marek Karpinski, Andrzej Lingas and Dzmitry Sledneu [Download PostScript] [Download PDF] The number of triangulations of a planar n point set is known to be cn , where the base c lies between 2.43 and 30. The fastest known algorithm for counting triangulations of a planar n point set runs in O*(2n) time. The fastest known arbitrarily close approximation algorithm for the base of the number of triangulations of a planar n point set runs in time subexponential in n. We present the first quasi-polynomial approximation scheme for the base of the number of triangulations of a planar point set. |
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Last Change:
11/05/14 at 11:05:25
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Universität Bonn -> Institut für Informatik -> Abteilung V | |