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CCCG
2010
13 years 10 months ago
Zipper unfoldings of polyhedral complexes
We explore which polyhedra and polyhedral complexes can be formed by folding up a planar polygonal region and fastening it with one zipper. We call the reverse process a zipper un...
Anna Lubiw, Erik D. Demaine, Martin L. Demaine, Ar...
CCCG
2010
13 years 10 months ago
Fast local searches and updates in bounded universes
Given a bounded universe {0, 1, . . . , U-1}, we show how to perform (successor) searches in O(log log ) expected time and updates in O(log log ) expected amortized time, where i...
Prosenjit Bose, Karim Douïeb, Vida Dujmovic, ...
CCCG
2010
13 years 10 months ago
On stretch minimization problem on unit strip paper
For a given mountain-valley pattern of equidistant creases on a long strip paper, there are many folded states consistent with the pattern. Among these folded states, we like to f...
Ryuhei Uehara
CCCG
2010
13 years 10 months ago
Minimum-area drawings of plane 3-trees
d Abstract) Debajyoti Mondal , Rahnuma Islam Nishat , Md. Saidur Rahman , and Muhammad Jawaherul Alam
Debajyoti Mondal, Rahnuma Islam Nishat, Md. Saidur...
CCCG
2010
13 years 10 months ago
Multi-guard covers for polygonal regions
We study the problem of finding optimal covers of polygonal regions using multiple mobile guards. By our definition, a point is covered if, at some time, it lies within the convex...
Zohreh Jabbari, William S. Evans, David G. Kirkpat...
CCCG
2010
13 years 10 months ago
Connected dominating sets on dynamic geometric graphs
We propose algorithms for efficiently maintaining a constant-approximate minimum connected dominating set (MCDS) of a geometric graph under node insertions and deletions. Assuming...
Leonidas J. Guibas, Nikola Milosavljevic, Arik Mot...
CCCG
2010
13 years 10 months ago
Approximate euclidean ramsey theorems
According to a classical result of Szemer
Adrian Dumitrescu
CCCG
2010
13 years 10 months ago
Evading equilateral triangles without a map
Consider an arrangement of equilateral non-overlapping translated triangles in the plane and two points S and T so that the segment ST is parallel to a side of each of the triangl...
Braxton Carrigan
CCCG
2010
13 years 10 months ago
Optimal encoding of triangular and quadrangular meshes with fixed topology
Extending a bijection recently introduced by Poulalhon and Schaeffer [15] for triangulations of the sphere we design an efficient algorithm for encoding (topological) triangulatio...
Luca Castelli Aleardi, Eric Fusy, Thomas Lewiner