Approximation algorithms for disjoint paths and related routing and packing problems

A Baveja, A Srinivasan - Mathematics of Operations …, 2000 - pubsonline.informs.org
Mathematics of Operations Research, 2000pubsonline.informs.org
Given a network and a set of connection requests on it, we consider the maximum edge-
disjoint paths and related generalizations and routing problems that arise in assigning paths
for these requests. We present improved approximation algorithms and/or integrality gaps
for all problems considered; the central theme of this work is the underlying multicommodity
flow relaxation. Applications of these techniques to approximating families of packing integer
programs are also presented.
Given a network and a set of connection requests on it, we consider the maximum edge-disjoint paths and related generalizations and routing problems that arise in assigning paths for these requests. We present improved approximation algorithms and/or integrality gaps for all problems considered; the central theme of this work is the underlying multicommodity flow relaxation. Applications of these techniques to approximating families of packing integer programs are also presented.
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