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CCCG
2010
13 years 6 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 6 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 6 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 6 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 6 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 6 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 6 months ago
Approximate euclidean ramsey theorems
According to a classical result of Szemer
Adrian Dumitrescu
CCCG
2010
13 years 6 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 6 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