# Online Euclidean Spanners

@article{Bhore2021OnlineES, title={Online Euclidean Spanners}, author={Sujoy Kumar Bhore and Csaba D. T'oth}, journal={ArXiv}, year={2021}, volume={abs/2107.00684} }

In this paper, we study the online Euclidean spanners problem for points in R. Given a set S of n points in R, a t-spanner on S is a subgraph of the underlying complete graph G = (S, ( S 2 ) ), that preserves the pairwise Euclidean distances between points in S to within a factor of t, that is the stretch factor. Suppose we are given a sequence of n points (s1, s2, . . . , sn) in R, where point si is presented in step i for i = 1, . . . , n. The objective of an online algorithm is to maintain a… Expand

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