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MFCS
2005
Springer
15 years 4 months ago
Greedy Approximation via Duality for Packing, Combinatorial Auctions and Routing
We study simple greedy approximation algorithms for general class of integer packing problems. We provide a novel analysis based on the duality theory of linear programming. This e...
Piotr Krysta
COMGEO
2007
ACM
14 years 11 months ago
Delaunay triangulations approximate anchor hulls
Recent results establish that a subset of the Voronoi diagram of a point set that is sampled from the smooth boundary of a shape approximates the medial axis. The corresponding qu...
Tamal K. Dey, Joachim Giesen, Samrat Goswami
SODA
2010
ACM
185views Algorithms» more  SODA 2010»
14 years 9 months ago
Solving MAX-r-SAT Above a Tight Lower Bound
We present an exact algorithm that decides, for every fixed r ≥ 2 in time O(m) + 2O(k2 ) whether a given multiset of m clauses of size r admits a truth assignment that satisfi...
Noga Alon, Gregory Gutin, Eun Jung Kim, Stefan Sze...
SPAA
2009
ACM
15 years 12 months ago
An optimal local approximation algorithm for max-min linear programs
In a max-min LP, the objective is to maximise subject to Ax 1, Cx 1, and x 0 for nonnegative matrices A and C. We present a local algorithm (constant-time distributed algorith...
Patrik Floréen, Joel Kaasinen, Petteri Kask...
STOC
2010
ACM
186views Algorithms» more  STOC 2010»
15 years 4 months ago
Faster approximation schemes for fractional multicommodity flow problems via dynamic graph algorithms
We combine the work of Garg and K¨onemann, and Fleischer with ideas from dynamic graph algorithms to obtain faster (1 − ε)-approximation schemes for various versions of the mu...
Aleksander Madry