An Efficient Construction of Yao-Graph in Data-Distributed Settings

08/29/2023

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by   Sepideh Aghamolaei, et al.

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A sparse graph that preserves an approximation of the shortest paths between all pairs of points in a plane is called a geometric spanner. Using range trees of sublinear size, we design an algorithm in massively parallel computation (MPC) model for constructing a geometric spanner known as Yao-graph. This improves the total time and the total memory of existing algorithms for geometric spanners from subquadratic to near-linear.