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» On the number of rectangulations of a planar point set
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COMPGEOM
2010
ACM
15 years 6 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
GD
2007
Springer
15 years 8 months ago
Moving Vertices to Make Drawings Plane
In John Tantalo’s on-line game Planarity the player is given a non-plane straight-line drawing of a planar graph. The aim is to make the drawing plane as quickly as possible by m...
Xavier Goaoc, Jan Kratochvíl, Yoshio Okamot...
BMVC
1998
15 years 3 months ago
Planar Curve Representation and Matching
In this paper, we discuss a method for representing and matching planar curves. The technique is based on using calculations from concentric circles to represent each curve by two...
Maher Al-Khaiyat, Farhad Kamangar
IPL
2006
98views more  IPL 2006»
15 years 1 months ago
Transforming spanning trees and pseudo-triangulations
Let TS be the set of all crossing-free straight line spanning trees of a planar n-point set S. Consider the graph TS where two members T and T of TS are adjacent if T intersects T...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
JDA
2010
95views more  JDA 2010»
15 years 6 days ago
Sigma-local graphs
We introduce and analyze σ-local graphs, based on a definition of locality by Erickson [12]. We present two algorithms to construct such graphs, for any real number σ > 1 an...
Prosenjit Bose, Sébastien Collette, Stefan ...