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FOCS
2007
IEEE
14 years 1 months ago
On the Optimality of Planar and Geometric Approximation Schemes
We show for several planar and geometric problems that the best known approximation schemes are essentially optimal with respect to the dependence on ǫ. For example, we show that...
Dániel Marx
CGF
2005
170views more  CGF 2005»
13 years 7 months ago
Structure Recovery via Hybrid Variational Surface Approximation
Aiming at robust surface structure recovery, we extend the powerful optimization technique of variational shape approximation by allowing for several different primitives to repre...
Jianhua Wu, Leif Kobbelt
FAW
2009
Springer
177views Algorithms» more  FAW 2009»
14 years 2 months ago
Bounds on the Geometric Mean of Arc Lengths for Bounded-Degree Planar Graphs
Data access time becomes the main bottleneck in applications dealing with large-scale graphs. Cache-oblivious layouts, constructed to minimize the geometric mean of arc lengths of ...
Mohammad Khairul Hasan, Sung-Eui Yoon, Kyung-Yong ...
COMPGEOM
2005
ACM
13 years 9 months ago
Finding the best shortcut in a geometric network
Given a Euclidean graph G in Rd with n vertices and m edges we consider the problem of adding a shortcut such that the stretch factor of the resulting graph is minimized. Currentl...
Mohammad Farshi, Panos Giannopoulos, Joachim Gudmu...
WADS
2009
Springer
243views Algorithms» more  WADS 2009»
14 years 2 months ago
Approximation Algorithms for Buy-at-Bulk Geometric Network Design
Abstract. The buy-at-bulk network design problem has been extensively studied in the general graph model. In this paper we consider the geometric version of the problem, where all ...
Artur Czumaj, Jurek Czyzowicz, Leszek Gasieniec, J...