New Additive Spanners

Abstract

Previous chapter Next chapter Full AccessProceedings Proceedings of the 2013 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)New Additive SpannersShiri ChechikShiri ChechikMicrosoft Research Silicon Valley, Mountain View CA, USA.Search for more papers by this authorpp.498 - 512Chapter DOI:https://doi.org/10.1137/1.9781611973105.36PDFBibTexSections ToolsAdd to favoritesDownload CitationsTrack CitationsEmail SectionsAboutAbstract This paper considers additive and purely additive spanners. We present a new purely additive spanner of size Õ(n7/5) with additive stretch 4. This construction fills in the gap between the two existing constructions for purely additive spanners, one for 2-additive spanner of size O(n3/2) and the other for 6-additive spanner of size O(n4/3), and thus answers a main open question in this area. In addition, we present a construction for additive spanners with Õ(n1+δ) edges and additive stretch of O(n1/2–3δ/2) for any 3/17 ≤ δ < 1/3, improving the stretch of the existing constructions from O(n1–3δ) to . Finally, we show that our (1, n1/2–3δ/2)-spanner construction can be tweaked to give a sublinear additive spanner of size O(n1+3/17) with additive stretch . Previous chapter Next chapter RelatedDetails Published:2013ISBN:978-1-61197-251-1eISBN:978-1-61197-310-5 https://doi.org/10.1137/1.9781611973105Book Series Name:ProceedingsBook Code:PR143Book Pages:xix + 1915