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STOC
1999
ACM
123views Algorithms» more  STOC 1999»
13 years 11 months ago
Covering Rectilinear Polygons with Axis-Parallel Rectangles
We give an O( log n) factor approximation algorithm for covering a rectilinear polygon with holes using axis-parallel rectangles. This is the first polynomial time approximation a...
V. S. Anil Kumar, H. Ramesh
ORL
1998
136views more  ORL 1998»
13 years 7 months ago
A primal-dual interpretation of two 2-approximation algorithms for the feedback vertex set problem in undirected graphs
Recently, Becker and Geiger and Bafna, Berman and Fujito gave 2-approximation algorithms for the feedback vertex set problem in undirected graphs. We show how their algorithms can...
Fabián A. Chudak, Michel X. Goemans, Dorit ...
WADS
2007
Springer
189views Algorithms» more  WADS 2007»
14 years 1 months ago
35/44-Approximation for Asymmetric Maximum TSP with Triangle Inequality
We describe a new approximation algorithm for the asymmetric maximum traveling salesman problem (ATSP) with triangle inequality. Our algorithm achieves approximation factor 35/44 ...
Lukasz Kowalik, Marcin Mucha
ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
14 years 21 days ago
Absolute polynomial factorization in two variables and the knapsack problem
A recent algorithmic procedure for computing the absolute factorization of a polynomial P(X, Y ), after a linear change of coordinates, is via a factorization modulo X3 . This was...
Guillaume Chèze
FOCS
2004
IEEE
13 years 11 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot