# Routing on the Visibility Graph

@article{Bose2017RoutingOT,
title={Routing on the Visibility Graph},
author={Prosenjit Bose and Matias Korman and Andr{\'e} van Renssen and Sander Verdonschot},
journal={ArXiv},
year={2017},
volume={abs/1803.02979}
}
• Published 8 March 2018
• Computer Science
• ArXiv
We consider the problem of routing on a network in the presence of line segment constraints (i.e., obstacles that edges in our network are not allowed to cross). Let $P$ be a set of $n$ points in the plane and let $S$ be a set of non-crossing line segments whose endpoints are in $P$. We present two deterministic 1-local $O(1)$-memory routing algorithms that are guaranteed to find a path of at most linear size between any pair of vertices of the \emph{visibility graph} of $P$ with respect to a…
3 Citations

## Figures from this paper

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