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» On empty convex polygons in a planar point set
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CGI
2004
IEEE
15 years 3 months ago
Computer Aided Design for Origamic Architecture Models with Polygonal Representation
An Origamic Architecture (OA) is a folded sheet of perforated paper from which a three-dimensional structure "pops up" when it is opened. It is similar to a "pop-up...
Jun Mitani, Hiromasa Suzuki
ENDM
2008
142views more  ENDM 2008»
14 years 11 months ago
Augmenting the Connectivity of Planar and Geometric Graphs
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
Ignaz Rutter, Alexander Wolff
97
Voted
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
15 years 5 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
ISAAC
2005
Springer
91views Algorithms» more  ISAAC 2005»
15 years 5 months ago
Sparse Geometric Graphs with Small Dilation
Given a set S of n points in RD , and an integer k such that 0 k < n, we show that a geometric graph with vertex set S, at most n − 1 + k edges, maximum degree five, and dila...
Boris Aronov, Mark de Berg, Otfried Cheong, Joachi...
ISAAC
2004
Springer
79views Algorithms» more  ISAAC 2004»
15 years 5 months ago
Paired Pointset Traversal
In the Paired Pointset Traversal problem we ask whether, given two sets A = {a1, . . . , an} and B = {b1, . . . , bn} in the plane, there is an ordering π of the points such that ...
Peter Hui, Marcus Schaefer