TY - GEN

T1 - Fully dynamic geometric spanners

AU - Roditty, Liam

PY - 2007

Y1 - 2007

N2 - In this paper we present an algorithm for maintaining a geometric spanner over a dynamic set of points S. For a set S of points in Rd, a t-spanner is a sparse graph on the points of S such that there is a path in the spanner between any pair of points whose total length is at most t times the Euclidean distance between the points. In this paper we present the first fully dynamic algorithm for maintaining a geometric spanner whose update time depends solely on the number of points in S. In particular, we show how to maintain a (1 + ε)-spanner with O(n/εd) edges, where points can be inserted to S in an amortized update time of O(log n) and deleted from S in an amortized update time of ?O(n1/3).

AB - In this paper we present an algorithm for maintaining a geometric spanner over a dynamic set of points S. For a set S of points in Rd, a t-spanner is a sparse graph on the points of S such that there is a path in the spanner between any pair of points whose total length is at most t times the Euclidean distance between the points. In this paper we present the first fully dynamic algorithm for maintaining a geometric spanner whose update time depends solely on the number of points in S. In particular, we show how to maintain a (1 + ε)-spanner with O(n/εd) edges, where points can be inserted to S in an amortized update time of O(log n) and deleted from S in an amortized update time of ?O(n1/3).

KW - Algorithms

KW - Dynamic

KW - Geometry

KW - Spanners

UR - http://www.scopus.com/inward/record.url?scp=35348816721&partnerID=8YFLogxK

U2 - 10.1145/1247069.1247134

DO - 10.1145/1247069.1247134

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???

AN - SCOPUS:35348816721

SN - 1595937056

SN - 9781595937056

T3 - Proceedings of the Annual Symposium on Computational Geometry

SP - 373

EP - 380

BT - Proceedings of the Twenty-third Annual Symposium on Computational Geometry, SCG'07

T2 - 23rd Annual Symposium on Computational Geometry, SCG'07

Y2 - 6 June 2007 through 8 June 2007

ER -