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» Approximation of Natural W[P]-Complete Minimisation Problems...
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CATS
2006
13 years 9 months ago
On the Approximability of Maximum and Minimum Edge Clique Partition Problems
We consider the following clustering problems: given a general undirected graph, partition its vertices into disjoint clusters such that each cluster forms a clique and the number...
Anders Dessmark, Jesper Jansson, Andrzej Lingas, E...
CORR
2008
Springer
143views Education» more  CORR 2008»
13 years 7 months ago
Locally computable approximations for spectral clustering and absorption times of random walks
We address the problem of determining a natural local neighbourhood or "cluster" associated to a given seed vertex in an undirected graph. We formulate the task in terms...
Pekka Orponen, Satu Elisa Schaeffer, Vanesa Avalos...
SODA
2012
ACM
225views Algorithms» more  SODA 2012»
11 years 10 months ago
Approximating rooted Steiner networks
The Directed Steiner Tree (DST) problem is a cornerstone problem in network design. We focus on the generalization of the problem with higher connectivity requirements. The proble...
Joseph Cheriyan, Bundit Laekhanukit, Guyslain Nave...
COCO
2004
Springer
147views Algorithms» more  COCO 2004»
13 years 11 months ago
The Complexity of the Covering Radius Problem on Lattices and Codes
We initiate the study of the computational complexity of the covering radius problem for point lattices, and approximation versions of the problem for both lattices and linear cod...
Venkatesan Guruswami, Daniele Micciancio, Oded Reg...
FOCS
2009
IEEE
14 years 2 months ago
Symmetry and Approximability of Submodular Maximization Problems
Abstract— A number of recent results on optimization problems involving submodular functions have made use of the ”multilinear relaxation” of the problem [3], [8], [24], [14]...
Jan Vondrák