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Proving integrality gaps without knowing the linear program Sanjeev Arora #
 

Summary: Proving integrality gaps without knowing the linear program
Sanjeev Arora #
Princeton University
B’ela Bollob’as +#§
University of Memphis
L’aszl’o Lov’asz ¶
Microsoft Research
Abstract
Proving integrality gaps for linear relaxations of NP
optimization problems is a di#cult task and usually
undertaken on a case­by­case basis. We initiate a
more systematic approach. We prove an integrality
gap of 2-o(1) for three families of linear relaxations
for vertex cover, and our methods seem relevant to
other problems as well.
1 Introduction
Approximation algorithms for NP­hard problems ---
metric TSP, Vertex Cover, graph expansion, cut
problems, etc.--- often use a linear relaxation of the
problem (see Vazirani [19], Hochbaum [13]). For in­

  

Source: Arora, Sanjeev - Department of Computer Science, Princeton University

 

Collections: Computer Technologies and Information Sciences