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ICALP
2010
Springer
14 years 4 months ago
The Positive Semidefinite Grothendieck Problem with Rank Constraint
Given a positive integer n and a positive semidefinite matrix A = (Aij ) ∈ Rm×m the positive semidefinite Grothendieck problem with rank-nconstraint is (SDPn) maximize mX i=1 ...
Jop Briët, Fernando Mário de Oliveira ...
ICALP
2010
Springer
14 years 4 months ago
Preprocessing of Min Ones Problems: A Dichotomy
Min Ones Constraint Satisfaction Problems, i.e., the task of finding a satisfying assignment with at most k true variables (Min Ones SAT(Γ)), can express a number of interesting ...
Stefan Kratsch, Magnus Wahlström
ICALP
2010
Springer
14 years 4 months ago
Better Scalable Algorithms for Broadcast Scheduling
Nikhil Bansal, Ravishankar Krishnaswamy, Viswanath...
ICALP
2010
Springer
14 years 4 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 4 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 4 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 4 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 4 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 4 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 4 months ago
Online Network Design with Outliers
Aris Anagnostopoulos, Fabrizio Grandoni, Stefano L...