Article ID: | iaor20102857 |
Volume: | 36 |
Issue: | 4 |
Start Page Number: | 399 |
End Page Number: | 401 |
Publication Date: | Jul 2008 |
Journal: | Operations Research Letters |
Authors: | Cheriyan J, Karloff H, Khandekar R, Knemann J |
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.