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INFOCOM
2010
IEEE
14 years 8 months ago
Approximate Capacity Subregions of Uniform Multihop Wireless Networks
—The capacity region of multihop wireless network is involved in many capacity optimization problems. However, the membership of the capacity region is NP-complete in general, an...
Peng-Jun Wan, Lixin Wang, Ai Huang, Minming Li, F....
JAT
2010
61views more  JAT 2010»
14 years 8 months ago
Close-to-optimal bounds for SU(N) loop approximation
In [6], we proved an asymptotic O(n−α/(α+1)) bound for the approximation of SU(N) loops (N ≥ 2) with Lipschitz smoothness α > 1/2 by polynomial loops of degree ≤ n. Th...
Peter Oswald, Tatiana Shingel
SIAMCO
2002
121views more  SIAMCO 2002»
14 years 9 months ago
Consistent Approximations and Approximate Functions and Gradients in Optimal Control
As shown in [7], optimal control problems with either ODE or PDE dynamics can be solved efficiently using a setting of consistent approximations obtained by numerical discretizati...
Olivier Pironneau, Elijah Polak
WADS
2007
Springer
184views Algorithms» more  WADS 2007»
15 years 3 months ago
A Pseudopolynomial Time O (log n )-Approximation Algorithm for Art Gallery Problems
In this paper, we give a O(log copt)-approximation algorithm for the point guard problem where copt is the optimal number of guards. Our algorithm runs in time polynomial in n, the...
Ajay Deshpande, Taejung Kim, Erik D. Demaine, Sanj...
DIALM
2008
ACM
139views Algorithms» more  DIALM 2008»
14 years 11 months ago
Approximating maximum integral flows in wireless sensor networks via weighted-degree constrained k-flows
We consider the Maximum Integral Flow with Energy Constraints problem: given a directed graph G = (V, E) with edge-weights {w(e) : e E} and node battery capacities {b(v) : v V }...
Zeev Nutov