TY - GEN

T1 - New additive spanners

AU - Chechik, Shiri

PY - 2013

Y1 - 2013

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=84876029510&partnerID=8YFLogxK

U2 - 10.1137/1.9781611973105.36

DO - 10.1137/1.9781611973105.36

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AN - SCOPUS:84876029510

SN - 9781611972511

T3 - Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms

SP - 498

EP - 512

BT - Proceedings of the 24th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2013

PB - Association for Computing Machinery

T2 - 24th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2013

Y2 - 6 January 2013 through 8 January 2013

ER -