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» The Number of Triangulations on Planar Point Sets
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CORR
2010
Springer
159views Education» more  CORR 2010»
13 years 6 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»
13 years 8 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»
13 years 10 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
COMPGEOM
1999
ACM
14 years 27 days 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»
12 years 8 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