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» Random triangulations of planar point sets
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81
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COMPGEOM
2010
ACM
15 years 2 months ago
A kinetic triangulation scheme for moving points in the plane
We present a simple randomized scheme for triangulating a set P of n points in the plane, and construct a kinetic data structure which maintains the triangulation as the points of...
Haim Kaplan, Natan Rubin, Micha Sharir
74
Voted
SODA
1997
ACM
115views Algorithms» more  SODA 1997»
14 years 10 months ago
Faster Construction of Planar Two-Centers
Improving on a recent breakthrough of Sharir, we find two minimum-radius circular disks covering a planar point set, in randomized expected time O(n log2 n).
David Eppstein
SODA
2001
ACM
105views Algorithms» more  SODA 2001»
14 years 11 months ago
Online point location in planar arrangements and its applications
Recently, Har-Peled [HP99b] presented a new randomized technique for online construction of the zone of a curve in a planar arrangement of arcs. In this paper, we present several ...
Sariel Har-Peled, Micha Sharir
132
Voted
CORR
2008
Springer
141views Education» more  CORR 2008»
14 years 9 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
ENDM
2011
227views Hardware» more  ENDM 2011»
13 years 9 months ago
Bichromatic Triangle Games
We study a combinatorial game called Bichromatic Triangle Game, defined as follows. Two players R and B construct a triangulation on a given planar point set V . Starting from no...
Gordana Manic, Daniel M. Martin, Milos Stojakovic