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CCCG
2010
14 years 29 days ago
Those ubiquitous cut polyhedra
I first met Paul Erd
David Avis
CCCG
2010
14 years 29 days ago
Constrained k-center and movement to independence
We obtain hardness results and approximation algorithms for two related geometric problems involving movement. The first is a constrained variant of the k-center problem, arising ...
Adrian Dumitrescu, Minghui Jiang
CCCG
2010
14 years 29 days ago
Computing straight skeletons of planar straight-line graphs based on motorcycle graphs
We present a simple algorithm for computing straight skeletons of planar straight-line graphs. We exploit the relation between motorcycle graphs and straight skeletons, and introd...
Stefan Huber, Martin Held
CCCG
2010
14 years 29 days 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
14 years 29 days 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
14 years 29 days 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
14 years 29 days 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
14 years 29 days 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
14 years 29 days 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...