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JACM
1998
88views more  JACM 1998»
15 years 3 months ago
A Threshold of ln n for Approximating Set Cover
Given a collection Ᏺ of subsets of S ϭ {1, . . . , n}, set cover is the problem of selecting as few as possible subsets from Ᏺ such that their union covers S, and max k-cover ...
Uriel Feige
ISAAC
2010
Springer
257views Algorithms» more  ISAAC 2010»
15 years 1 months ago
Approximating Minimum Bending Energy Path in a Simple Corridor
Abstract. In this paper, we consider the problem of computing a minimum bending energy path (or MinBEP) in a simple corridor. Given a simple 2D corridor C bounded by straight line ...
Jinhui Xu, Lei Xu, Yulai Xie
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
15 years 2 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
APPROX
2009
Springer
177views Algorithms» more  APPROX 2009»
15 years 10 months ago
Improved Absolute Approximation Ratios for Two-Dimensional Packing Problems
Abstract. We consider the two-dimensional bin packing and strip packing problem, where a list of rectangles has to be packed into a minimal number of rectangular bins or a strip of...
Rolf Harren, Rob van Stee
ALGORITHMICA
2004
153views more  ALGORITHMICA 2004»
15 years 3 months ago
Approximating the Degree-Bounded Minimum Diameter Spanning Tree Problem
We consider the problem of finding a minimum diameter spanning tree with maximum node degree B in a complete undirected edge-weighted graph. We provide an O( p logB n)-approximatio...
Jochen Könemann, Asaf Levin, Amitabh Sinha