Routing in Polygonal Domains

Bahareh Banyassady, Man-Kwun Chiu, Matias Korman, Wolfgang Mulzer, André van Renssen, Marcel Roeloffzen, Paul Seiferth, Yannik Stein, Birgit Vogtenhuber, Max Willert

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Abstract

We consider the problem of routing a data packet through the visibility graph of a polygonal domain $P$ with $n$ vertices and $h$ holes. We may preprocess $P$ to obtain a label and a routing table for each vertex. Then, we must be able to route a data packet between any two vertices $p$ and $q$ of $P$, where each step must use only the label of the target node $q$ and the routing table of the current node. For any fixed $varepsilon > 0$, we present a routing scheme that always achieves a routing path that exceeds the shortest path by a factor of at most $1 + . The labels have $O(log n)$ bits, and the routing tables are of size $O((-1+h)log n)$. The preprocessing time is $O(n^2log n + hn^2+-1hn)$. It can be improved to $O(n^2+-1n)$ for simple polygons.
Original languageEnglish
Title of host publication28th International Symposium on Algorithms and Computation (ISAAC 2017)
EditorsYoshio Okamoto, Takeshi Tokuyama
Place of PublicationDagstuhl, Germany
PublisherSchloss Dagstuhl--Leibniz-Zentrum fuer Informatik
Pages10:1-10:13
Volume92
ISBN (Print)978-3-95977-054-5
DOIs
Publication statusPublished - 2017

Publication series

NameLeibniz International Proceedings in Informatics (LIPIcs)
PublisherSchloss Dagstuhl--Leibniz-Zentrum fuer Informatik

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Cite this

Banyassady, B., Chiu, M-K., Korman, M., Mulzer, W., Renssen, A. V., Roeloffzen, M., ... Willert, M. (2017). Routing in Polygonal Domains. In Y. Okamoto, & T. Tokuyama (Eds.), 28th International Symposium on Algorithms and Computation (ISAAC 2017) (Vol. 92, pp. 10:1-10:13). (Leibniz International Proceedings in Informatics (LIPIcs)). Dagstuhl, Germany: Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik. https://doi.org/10.4230/LIPIcs.ISAAC.2017.10