a Department of Computer Science, Bar Ilan University, Room 323, Mailbox 50, Ramat Gan 52900, Israel b IBM T. J. Watson Research Center, Yorktown Heights, P.O. Box 218, NY 10598, USA
Abstract:
We consider the travelling salesman problem (TSP) problem on (the metric completion of) 3-edge-connected cubic graphs. These graphs are interesting because of the connection between their optimal solutions and the subtour elimination LP relaxation. Our main result is an approximation algorithm better than the 3/2-approximation algorithm for TSP in general.