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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»
14 years 1 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
14 years 7 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»
13 years 7 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»
13 years 7 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
14 years 1 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