Bottleneck matching in the plane

Matthew J. Katz; Micha Sharir

doi:10.1016/j.comgeo.2023.101986

Bottleneck matching in the plane

Matthew J. Katz^*, Micha Sharir

^*Corresponding author for this work

School of Computer Science

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We present a randomized algorithm that with high probability finds a bottleneck matching in a set of n=2ℓ points in the plane. The algorithm's running time is O(n^ω/2log⁡n), where ω>2 is a constant such that any two n×n matrices can be multiplied in time O(n^ω). The state of the art in fast matrix multiplication allows us to set ω=2.3728596.

Original language	English
Article number	101986
Journal	Computational Geometry: Theory and Applications
Volume	112
DOIs	https://doi.org/10.1016/j.comgeo.2023.101986
State	Published - Jun 2023

Funding

Funders	Funder number
National Science Foundation
United States-Israel Binational Science Foundation
Israel Science Foundation	260/18

Keywords

Bottleneck matching
Geometric optimization
Matrix multiplication
Order-k Voronoi diagram
Unit disk graph

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10.1016/j.comgeo.2023.101986

Cite this

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Bottleneck matching in the plane

Abstract

Funding

Keywords

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