By Topic

A Permanent Approach to the Traveling Salesman Problem

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Vishnoi, N.K. ; Microsoft Res., Bangalore, India

A randomized polynomial time algorithm is presented which, for every simple, connected, k-regular graph on n vertices, finds a tour that visits every vertex and has length at most (1 + √(64/1n k)) n with high probability. The proof follows simply from results developed in the context of permanents; Egorychev's and Falikman's theorem which lower bounds the permanent of a doubly stochastic matrix and the polynomial time algorithm of Jerrum, Sinclair and Vigoda which samples a near-random, perfect matching from a bipartite graph. The techniques in this paper suggest new permanent-based approaches for TSP which could be useful in attacking other interesting cases of TSP.

Published in:

Foundations of Computer Science (FOCS), 2012 IEEE 53rd Annual Symposium on

Date of Conference:

20-23 Oct. 2012