New additive spanners

Shiri Chechik*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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(n 4/3), and thus answers a main open question in this area. In addition, we present a construction for additive spanners with Õ(n 1+δ) edges and additive stretch of Õ(n 1/2-3δ/2) for any 3/17 ≤ δ < 1/3, improving the stretch of the existing constructions from O(n1-3δ) to Õ(√n1-3δ). Finally, we show that our (1,n 1/2-3δ/2)-spanner construction can be tweaked to give a sublinear additive spanner of size Õ(n1+3/17) with additive stretch O(√distance).

Original languageEnglish
Title of host publicationProceedings of the 24th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2013
PublisherAssociation for Computing Machinery
Number of pages15
ISBN (Print)9781611972511
StatePublished - 2013
Externally publishedYes
Event24th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2013 - New Orleans, LA, United States
Duration: 6 Jan 20138 Jan 2013

Publication series

NameProceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms


Conference24th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2013
Country/TerritoryUnited States
CityNew Orleans, LA


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