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CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 3 months ago
Lift-and-Project Integrality Gaps for the Traveling Salesperson Problem
We study the lift-and-project procedures of Lov´asz-Schrijver and Sherali-Adams applied to the standard linear programming relaxation of the traveling salesperson problem with tr...
Thomas Watson
CORR
2010
Springer
88views Education» more  CORR 2010»
13 years 11 months ago
Grothendieck inequalities for semidefinite programs with rank constraint
Grothendieck inequalities are fundamental inequalities which are frequently used in many areas of mathematics and computer science. They can be interpreted as upper bounds for the ...
Jop Briët, Fernando Mário de Oliveira ...
CORR
2010
Springer
142views Education» more  CORR 2010»
13 years 11 months ago
Integrality Gaps of Linear and Semi-definite Programming Relaxations for Knapsack
Recent years have seen an explosion of interest in lift and project methods, such as those proposed by Lov
Anna R. Karlin, Claire Mathieu, C. Thach Nguyen
IPCO
2008
91views Optimization» more  IPCO 2008»
14 years 26 days ago
New Geometry-Inspired Relaxations and Algorithms for the Metric Steiner Tree Problem
Abstract. Determining the integrality gap of the bidirected cut relaxation for the metric Steiner tree problem, and exploiting it algorithmically, is a long-standing open problem. ...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....
IPCO
2010
160views Optimization» more  IPCO 2010»
14 years 27 days ago
On Column-Restricted and Priority Covering Integer Programs
In a column-restricted covering integer program (CCIP), all the non-zero entries of any column of the constraint matrix are equal. Such programs capture capacitated versions of cov...
Deeparnab Chakrabarty, Elyot Grant, Jochen Kö...
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
14 years 1 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
14 years 1 months ago
Santa Claus Meets Hypergraph Matchings
We consider the problem of max-min fair allocation of indivisible goods. Our focus will be on the restricted version of the problem in which there are m items, each of which assoc...
Arash Asadpour, Uriel Feige, Amin Saberi
STOC
1999
ACM
125views Algorithms» more  STOC 1999»
14 years 3 months ago
Rounding Algorithms for a Geometric Embedding of Minimum Multiway Cut
Given an undirected graph with edge costs and a subset of k ≥ 3 nodes called terminals, a multiway, or k-way, cut is a subset of the edges whose removal disconnects each termina...
David R. Karger, Philip N. Klein, Clifford Stein, ...
ICALP
2003
Springer
14 years 4 months ago
Multicommodity Demand Flow in a Tree
We consider requests for capacity in a given tree network T = (V, E) where each edge of the tree has some integer capacity ue. Each request consists of an integer demand df and a ...
Chandra Chekuri, Marcelo Mydlarz, F. Bruce Shepher...
FCT
2003
Springer
14 years 4 months ago
Proving Integrality Gaps without Knowing the Linear Program
: Proving integrality gaps for linear relaxations of NP optimization problems is a difficult task and usually undertaken on a case-by-case basis. We initiate a more systematic app...
Sanjeev Arora