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» The Number of Triangulations on Planar Point Sets
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96
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CORR
2010
Springer
159views Education» more  CORR 2010»
14 years 9 months ago
Counting Plane Graphs: Flippability and its Applications
We generalize the notions of flippable and simultaneously-flippable edges in a triangulation of a set S of points in the plane, into so called pseudo simultaneously-flippable edge...
Michael Hoffmann, Micha Sharir, Adam Sheffer, Csab...
COMBINATORICA
2004
69views more  COMBINATORICA 2004»
14 years 11 months ago
Structural Results For Planar Sets With Many Similar Subsets
Consider a k-element subset P of the plane. It is known that the maximum number of sets similar to P that can be found among n points in the plane is (n2 ) if and only if the cros...
Bernardo M. Ábrego, György Elekes, Sil...
SODA
2001
ACM
105views Algorithms» more  SODA 2001»
15 years 1 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
82
Voted
COMPGEOM
1999
ACM
15 years 4 months ago
The Path of a Triangulation
We define the path of a pseudo-triangulation, a data structure generalizing the path of a triangulation of a point set. This structure allows us to use divide-andconquer type of ...
Oswin Aichholzer
ENDM
2011
227views Hardware» more  ENDM 2011»
13 years 11 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