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ICALP
2010
Springer
14 years 2 months ago
SDP Gaps for 2-to-1 and Other Label-Cover Variants
In this paper we present semidefinite programming (SDP) gap instances for the following variants of the Label-Cover problem, closely related to the Unique Games Conjecture: (i) 2-...
Venkatesan Guruswami, Subhash Khot, Ryan O'Donnell...
ICALP
2010
Springer
14 years 2 months ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
Amir Shpilka, Ilya Volkovich
ICALP
2010
Springer
14 years 2 months ago
Network Design via Core Detouring for Problems without a Core
Some of the currently best-known approximation algorithms for network design are based on random sampling. One of the key steps of such algorithms is connecting a set of source nod...
Fabrizio Grandoni, Thomas Rothvoß
ICALP
2010
Springer
14 years 2 months ago
New Data Structures for Subgraph Connectivity
Abstract. We study the “subgraph connectivity” problem for undirected graphs with sublinear vertex update time. In this problem, we can make vertices active or inactive in a gr...
Ran Duan
ICALP
2010
Springer
14 years 2 months ago
Inapproximability of Hypergraph Vertex Cover and Applications to Scheduling Problems
Assuming the Unique Games Conjecture (UGC), we show optimal inapproximability results for two classic scheduling problems. We obtain a hardness of 2 − ε for the problem of mini...
Nikhil Bansal, Subhash Khot
ICALP
2010
Springer
14 years 2 months ago
On Approximate Horn Formula Minimization
The minimization problem for Horn formulas is to find a Horn formula equivalent to a given Horn formula, using a minimum number of clauses. A 2log1−ǫ (n) -inapproximability re...
Amitava Bhattacharya, Bhaskar DasGupta, Dhruv Muba...
ICALP
2010
Springer
14 years 2 months ago
Online Network Design with Outliers
Aris Anagnostopoulos, Fabrizio Grandoni, Stefano L...
ICALP
2010
Springer
14 years 2 months ago
Streaming Algorithms for Independent Sets
We find “combinatorially optimal” (guaranteed by the degree-sequence alone) independent sets for graphs and hypergraps in linear space in the semi-streaming model. We also pr...
Bjarni V. Halldórsson, Magnús M. Hal...
ICALP
2010
Springer
14 years 2 months ago
Clustering with Diversity
Abstract. We consider the clustering with diversity problem: given a set of colored points in a metric space, partition them into clusters such that each cluster has at least point...
Jian Li, Ke Yi, Qin Zhang