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CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 7 months ago
Reductions Between Expansion Problems
The Small-Set Expansion Hypothesis (Raghavendra, Steurer, STOC 2010) is a natural hardness assumption concerning the problem of approximating the edge expansion of small sets in g...
Prasad Raghavendra, David Steurer, Madhur Tulsiani
SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
14 years 17 days ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour
STACS
2010
Springer
14 years 2 months ago
Dispersion in Unit Disks
We present two new approximation algorithms with (improved) constant ratios for selecting n points in n unit disks such that the minimum pairwise distance among the points is maxi...
Adrian Dumitrescu, Minghui Jiang
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 11 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
APPROX
2000
Springer
190views Algorithms» more  APPROX 2000»
13 years 12 months ago
Approximating node connectivity problems via set covers
Given a graph (directed or undirected) with costs on the edges, and an integer k, we consider the problem of nding a k-node connected spanning subgraph of minimum cost. For the ge...
Guy Kortsarz, Zeev Nutov