On the integrality ratio for tree augmentation

On the integrality ratio for tree augmentation

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Article ID: iaor20102857
Volume: 36
Issue: 4
Start Page Number: 399
End Page Number: 401
Publication Date: Jul 2008
Journal: Operations Research Letters
Authors: , , ,
Abstract:

We show that the standard linear programming relaxation for the tree augmentation problem in undirected graphs has an integrality ratio that approaches 3/2. This refutes a conjecture of Cheriyan, Jordán, and Ravi (1999) that the integrality ratio is 4/3.

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