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Conference paper

Planar Reachability in Linear Space and Constant Time

From

University of Copenhagen1

Department of Applied Mathematics and Computer Science, Technical University of Denmark2

Algorithms and Logic, Department of Applied Mathematics and Computer Science, Technical University of Denmark3

We show how to represent a planar digraph in linear space so that reach ability queries can be answered in constant time. The data structure can be constructed in linear time. This representation of reach ability is thus optimal in both time and space, and has optimal construction time. The previous best solution used O(n log n) space for constant query time [Thorup FOCS'01].

Language: English
Publisher: IEEE Computer Society Press
Year: 2015
Pages: 370-389
Proceedings: 56th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2015
Series: Symposium on Foundations of Computer Science. Annual Proceedings
ISBN: 1467381918 , 1467381926 , 9781467381918 and 9781467381925
ISSN: 02725428 , 15238288 and 25758454
Types: Conference paper
DOI: 10.1109/FOCS.2015.30
ORCIDs: Rotenberg, Eva , 0000-0001-6997-9251 and 0000-0001-5237-1709

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