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FOCS
2002
IEEE
15 years 9 months ago
Covering Problems with Hard Capacities
We consider the classical vertex cover and set cover problems with the addition of hard capacity constraints. This means that a set (vertex) can only cover a limited number of its...
Julia Chuzhoy, Joseph Naor
IJBC
2007
80views more  IJBC 2007»
15 years 4 months ago
Exact Approximations of omega Numbers
A Chaitin Omega number is the halting probability of a universal prefix-free Turing machine. Every Omega number is simultaneously computably enumerable (the limit of a computable...
Cristian S. Calude, Michael J. Dinneen
TAMC
2007
Springer
15 years 11 months ago
Approximation Algorithms for 3D Orthogonal Knapsack
We study non-overlapping axis-parallel packings of 3D boxes with profits into a dedicated bigger box where rotation is either forbidden or permitted; we wish to maximize the total...
Florian Diedrich, Rolf Harren, Klaus Jansen, Ralf ...
STACS
2009
Springer
15 years 11 months ago
On Approximating Multi-Criteria TSP
Abstract. We present approximation algorithms for almost all variants of the multicriteria traveling salesman problem (TSP), whose performances are independent of the number k of c...
Bodo Manthey
COMGEO
2004
ACM
15 years 4 months ago
A local search approximation algorithm for k-means clustering
In k-means clustering we are given a set of n data points in d-dimensional space d and an integer k, and the problem is to determine a set of k points in d , called centers, to mi...
Tapas Kanungo, David M. Mount, Nathan S. Netanyahu...