License: 
Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ESA.2016.62
URN: urn:nbn:de:0030-drops-64033
URL: https://drops.dagstuhl.de/opus/volltexte/2016/6403/
Li, Jian ;
Zhan, Wei
Almost All Even Yao-Yao Graphs Are Spanners
Abstract
It is an open problem whether Yao-Yao graphs YY_{k} (also known as sparse-Yao graphs) are all spanners when the integer parameter k is large enough. In this paper we show that, for any integer k >= 42, the Yao-Yao graph YY_{2k} is a t_k-spanner, with stretch factor t_k = 6.03+O(k^{-1}) when k tends to infinity. Our result generalizes the best known result which asserts that all YY_{6k} are spanners for k >= 6 [Bauer and Damian, SODA'13]. Our proof is also somewhat simpler.
BibTeX - Entry
@InProceedings{li_et_al:LIPIcs:2016:6403,
author = {Jian Li and Wei Zhan},
title = {{Almost All Even Yao-Yao Graphs Are Spanners}},
booktitle = {24th Annual European Symposium on Algorithms (ESA 2016)},
pages = {62:1--62:13},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-015-6},
ISSN = {1868-8969},
year = {2016},
volume = {57},
editor = {Piotr Sankowski and Christos Zaroliagis},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2016/6403},
URN = {urn:nbn:de:0030-drops-64033},
doi = {10.4230/LIPIcs.ESA.2016.62},
annote = {Keywords: Yao-Yao graph, geometric spanner, curved trapezoid}
}
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Keywords: |
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Yao-Yao graph, geometric spanner, curved trapezoid |
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Collection: |
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24th Annual European Symposium on Algorithms (ESA 2016) |
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Issue Date: |
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2016 |
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Date of publication: |
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18.08.2016 |
