# Vertex Fault-Tolerant Geometric Spanners for Weighted Points

@article{Bhattacharjee2020VertexFG, title={Vertex Fault-Tolerant Geometric Spanners for Weighted Points}, author={Sukanya Bhattacharjee and Rajasekhar Inkulu}, journal={ArXiv}, year={2020}, volume={abs/2011.03354} }

Given a set S of n points, a weight function w to associate a non-negative weight to each point in S, a positive integer k \ge 1, and a real number \epsilon > 0, we present algorithms for computing a spanner network G(S, E) for the metric space (S, d_w) induced by the weighted points in S. The weighted distance function d_w on the set S of points is defined as follows: for any p, q \in S, d_w(p, q) is equal to w(p) + d_\pi(p, q) + w(q) if p \ne q, otherwise, d_w(p, q) is 0. Here, d_\pi(p, q) is…

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