2026-07-23T08:16:10Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:6403 2024-03-06T10:38:11Z ddc:004 open_access

Almost All Even Yao-Yao Graphs Are Spanners Li, Jian Zhan, Wei Yao-Yao graph geometric spanner curved trapezoid 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Jian Li and Wei Zhan 2016 Is Part Of LIPIcs, Volume 57, 24th Annual European Symposium on Algorithms (ESA 2016) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.ESA.2016.62 urn:nbn:de:0030-drops-64033 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2016.62 eng https://creativecommons.org/licenses/by/3.0/legalcode