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» Fully dynamic geometric spanners
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ICALP
2007
Springer
13 years 10 months ago
Streaming and Fully Dynamic Centralized Algorithms for Constructing and Maintaining Sparse Spanners
We present a streaming algorithm for constructing sparse spanners and show that our algorithm out-performs significantly the state-of-the-art algorithm for this task [20]. Speci...
Michael Elkin
ESA
2005
Springer
98views Algorithms» more  ESA 2005»
13 years 10 months ago
Small Stretch Spanners on Dynamic Graphs
We present fully dynamic algorithms for maintaining 3- and 5-spanners of undirected graphs under a sequence of update operations. For unweighted graphs we maintain a 3or 5-spanner...
Giorgio Ausiello, Paolo Giulio Franciosa, Giuseppe...
COMGEO
1999
ACM
13 years 4 months ago
Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
JACM
2010
135views more  JACM 2010»
13 years 3 months ago
A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries
We present a fully dynamic randomized data structure that can answer queries about the convex hull of a set of n points in three dimensions, where insertions take O(log3 n) expect...
Timothy M. Chan