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» A matter of degree: improved approximation algorithms for de...
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FSTTCS
2009
Springer
14 years 1 months ago
Iterative Methods in Combinatorial Optimization
We describe a simple iterative method for proving a variety of results in combinatorial optimization. It is inspired by Jain’s iterative rounding method (FOCS 1998) for designing...
R. Ravi
IPL
1998
119views more  IPL 1998»
13 years 7 months ago
A 2.5-Factor Approximation Algorithm for the k-MST Problem
The k-MST problem requires finding that subset of at least k vertices of a given graph whose Minimum Spanning Tree has least weight amongst all subsets of at least k vertices. Th...
Sunil Arya, H. Ramesh
ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
13 years 7 months ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
SODA
1992
ACM
252views Algorithms» more  SODA 1992»
13 years 8 months ago
A General Approximation Technique for Constrained Forest Problems
We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph wit...
Michel X. Goemans, David P. Williamson
JCSS
2011
95views more  JCSS 2011»
13 years 2 months ago
Hardness results for approximating the bandwidth
The bandwidth of an n-vertex graph G is the minimum value b such that the vertices of G can be mapped to distinct integer points on a line without any edge being stretched to a di...
Chandan K. Dubey, Uriel Feige, Walter Unger