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» Genericity, Randomness, and Polynomial-Time Approximations
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SIAMCOMP
1998
118views more  SIAMCOMP 1998»
13 years 6 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 11 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
14 years 1 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 10 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»
14 years 1 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