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» On empty convex polygons in a planar point set
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CGI
2004
IEEE
15 years 10 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»
15 years 6 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
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
16 years 4 days 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»
16 years 5 days 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»
16 years 1 days 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