On the Nearest Neighbor Rule for the Metric Traveling Salesman Problem
Data Structures and Algorithms
2014-01-10 v1 Discrete Mathematics
Combinatorics
Abstract
We present a very simple family of traveling salesman instances with cities where the nearest neighbor rule may produce a tour that is times longer than an optimum solution. Our family works for the graphic, the euclidean, and the rectilinear traveling salesman problem at the same time. It improves the so far best known lower bound in the euclidean case and proves for the first time a lower bound in the rectilinear case.
Keywords
Cite
@article{arxiv.1401.2071,
title = {On the Nearest Neighbor Rule for the Metric Traveling Salesman Problem},
author = {Stefan Hougardy and Mirko Wilde},
journal= {arXiv preprint arXiv:1401.2071},
year = {2014}
}