@inproceedings{ace429fd766c4f109c92333dc3cffc34,
title = "New additive spanners",
abstract = "This paper considers additive and purely additive spanners. We present a new purely additive spanner of size {\~O}(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 {\~O}(n 1+δ) edges and additive stretch of {\~O}(n 1/2-3δ/2) for any 3/17 ≤ δ < 1/3, improving the stretch of the existing constructions from O(n1-3δ) to {\~O}(√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 {\~O}(n1+3/17) with additive stretch O(√distance).",
author = "Shiri Chechik",
year = "2013",
doi = "10.1137/1.9781611973105.36",
language = "الإنجليزيّة",
isbn = "9781611972511",
series = "Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms",
publisher = "Association for Computing Machinery",
pages = "498--512",
booktitle = "Proceedings of the 24th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2013",
address = "الولايات المتّحدة",
note = "24th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2013 ; Conference date: 06-01-2013 Through 08-01-2013",
}