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» Genericity, Randomness, and Polynomial-Time Approximations
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SIAMCOMP
1998
118views more  SIAMCOMP 1998»
13 years 4 months ago
Genericity, Randomness, and Polynomial-Time Approximations
Polynomial-time safe and unsafe approximations for intractable sets were introduced by Meyer and Paterson [Technical Report TM-126, Laboratory for Computer Science, MIT, Cambridge,...
Yongge Wang
STOC
1989
ACM
99views Algorithms» more  STOC 1989»
13 years 8 months ago
A Random Polynomial Time Algorithm for Approximating the Volume of Convex Bodies
We present a randomised polynomial time algorithm for approximating the volume of a convex body K in n-dimensional Euclidean space. The proof of correctness of the algorithm relie...
Martin E. Dyer, Alan M. Frieze, Ravi Kannan
FOCS
2008
IEEE
13 years 11 months ago
A Polynomial-Time Approximation Scheme for Euclidean Steiner Forest
We give a randomized O(n polylog n)-time approximation scheme for the Steiner forest problem in the Euclidean plane. For every fixed ǫ > 0 and given n terminals in the plane ...
Glencora Borradaile, Philip N. Klein, Claire Mathi...
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
13 years 8 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski
ICC
2008
IEEE
130views Communications» more  ICC 2008»
13 years 11 months ago
A Polynomial-Time Approximation Algorithm for Weighted Sum-Rate Maximization in UWB Networks
— Scheduling in an ad hoc wireless network suffers from the non-convexity of the cost function, caused by the interference between communication links. In previous optimization t...
Gyouhwan Kim, Qiao Li, Rohit Negi