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» A Threshold of ln n for Approximating Set Cover
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AAIM
2007
Springer
141views Algorithms» more  AAIM 2007»
15 years 4 months ago
An Almost Linear Time 2.8334-Approximation Algorithm for the Disc Covering Problem
The disc covering problem asks to cover a set of points on the plane with a minimum number of fix-sized discs. We develop an O(n(log n)2 (log log n)2 ) deterministic time 2.8334-a...
Bin Fu, Zhixiang Chen, Mahdi Abdelguerfi
MOBIHOC
2008
ACM
15 years 9 months ago
An O(log n) dominating set protocol for wireless ad-hoc networks under the physical interference model
Dealing with interference is one of the primary challenges to solve in the design of protocols for wireless ad-hoc networks. Most of the work in the literature assumes localized o...
Christian Scheideler, Andréa W. Richa, Paol...
CORR
2006
Springer
164views Education» more  CORR 2006»
14 years 9 months ago
Approximation Algorithms for Restricted Cycle Covers Based on Cycle Decompositions
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey
ADCM
2010
129views more  ADCM 2010»
14 years 10 months ago
Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations
Let Rd be a compact convex set of positive measure. In a recent paper, we established a definiteness theory for cubature formulae of order two on . Here we study extremal propert...
Allal Guessab, Gerhard Schmeisser
WG
2007
Springer
15 years 3 months ago
Minimum-Weight Cycle Covers and Their Approximability
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey