๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Constant Approximation Algorithms for Rectangle Stabbing and Related Problems

โœ Scribed by Guang Xu; Jinhui Xu


Publisher
Springer
Year
2005
Tongue
English
Weight
231 KB
Volume
40
Category
Article
ISSN
1433-0490

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Constant Ratio Approximation Algorithms
โœ Daya Ram Gaur; Toshihide Ibaraki; Ramesh Krishnamurti ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB

We provide constant ratio approximation algorithms for two NP-hard problems, the rectangle stabbing problem and the rectilinear partitioning problem. In the rectangle stabbing problem, we are given a set of rectangles in two-dimensional space, with the objective of stabbing all rectangles with the m

Efficient Approximation Algorithms for T
โœ Piotr Berman; Bhaskar DasGupta; S Muthukrishnan; Suneeta Ramaswami ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 202 KB

We provide improved approximation algorithms for several rectangle tiling and packing problems (RTILE, DRTILE, and d-RPACK) studied in the literature. Most of our algorithms are highly efficient since their running times are near-linear in the sparse input size rather than in the domain size. In add

A Constant-Factor Approximation Algorith
โœ Avrim Blum; R Ravi; Santosh Vempala ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 186 KB

Given an undirected graph with nonnegative edge costs and an integer k, the k-MST problem is that of finding a tree of minimum cost on k nodes. This problem is known to be NP-hard. We present a simple approximation algorithm that finds a solution whose cost is less than 17 times the cost of the opti

A Constant-Factor Approximation Algorith
โœ Moses Charikar; Sudipto Guha; ร‰va Tardos; David B. Shmoys ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 165 KB

We present the first constant-factor approximation algorithm for the metric k-median problem. The k-median problem is one of the most wellstudied clustering problems, i.e., those problems in which the aim is to partition a given set of points into clusters so that the points within a cluster are rel

Near-optimal hardness results and approx
โœ Venkatesan Guruswami; Sanjeev Khanna; Rajmohan Rajaraman; Bruce Shepherd; Mihali ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 308 KB

We study the approximability of edge-disjoint paths and related problems. In the edge-disjoint paths (EDP) problem, we are given a network G with source-sink pairs รฐs i ; t i รž; 1pipk; and the goal is to find a largest subset of source-sink pairs that can be simultaneously connected in an edge-disjo