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CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 5 months ago
The minimum linear arrangement problem on proper interval graphs
We present a linear time algorithm for the minimum linear arrangement problem on proper interval graphs. The obtained ordering is a 4-approximation for general interval graphs. 1 ...
Ilya Safro
MFCS
2001
Springer
13 years 10 months ago
On the Approximability of the Steiner Tree Problem
We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400. The reduction i...
Martin Thimm
APPROX
2006
Springer
126views Algorithms» more  APPROX 2006»
13 years 9 months ago
Better Approximations for the Minimum Common Integer Partition Problem
Abstract. In the k-Minimum Common Integer Partition Problem, abbreviated k-MCIP, we are given k multisets X1, . . . , Xk of positive integers, and the goal is to find an integer mu...
David P. Woodruff
IPL
2011
112views more  IPL 2011»
13 years 14 days ago
Improved approximation algorithms for minimum AND-circuits problem via k-set cover
Arpe and Manthey [Algorithmica’09] recently studied the minimum ANDcircuit problem, which is a circuit minimization problem, and showed some results including approximation algo...
Hiroki Morizumi
ICALP
2011
Springer
12 years 9 months ago
Improved Approximation for the Directed Spanner Problem
We present an O( √ n log n)-approximation algorithm for the problem of finding the sparsest spanner of a given directed graph G on n vertices. A spanner of a graph is a sparse ...
Piotr Berman, Arnab Bhattacharyya, Konstantin Maka...