On the stretch factor of the Theta-4 graph
Computational Geometry
2013-03-25 v1
Abstract
In this paper we show that the \theta-graph with 4 cones has constant stretch factor, i.e., there is a path between any pair of vertices in this graph whose length is at most a constant times the Euclidean distance between that pair of vertices. This is the last \theta-graph for which it was not known whether its stretch factor was bounded.
Keywords
Cite
@article{arxiv.1303.5473,
title = {On the stretch factor of the Theta-4 graph},
author = {Luis Barba and Prosenjit Bose and Jean-Lou De Carufel and André van Renssen and Sander Verdonschot},
journal= {arXiv preprint arXiv:1303.5473},
year = {2013}
}