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MFCS
2005
Springer
15 years 9 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
15 years 3 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
156
Voted
SODA
2010
ACM
185views Algorithms» more  SODA 2010»
15 years 1 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
16 years 4 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...
135
Voted
STOC
2010
ACM
186views Algorithms» more  STOC 2010»
15 years 8 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