Bottleneck Matching in the Plane

05/12/2022
by   Matthew J. Katz, et al.
0

We present an algorithm for computing a bottleneck matching in a set of n=2ℓ points in the plane, which runs in O(n^ω/2log n) deterministic time, where ω≈ 2.37 is the exponent of matrix multiplication.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
12/24/2021

The probabilistic Weisfeiler-Leman algorithm

A probabilistic version of the Weisfeiler-Leman algorithm for computing ...
research
06/21/2021

A PTAS for k-hop MST on the Euclidean plane: Improving Dependency on k

For any ϵ>0, Laue and Matijević [CCCG'07, IPL'08] give a PTAS for findin...
research
02/21/2023

Dynamic Euclidean Bottleneck Matching

A fundamental question in computational geometry is for a set of input p...
research
04/08/2020

An Improved Cutting Plane Method for Convex Optimization, Convex-Concave Games and its Applications

Given a separation oracle for a convex set K ⊂R^n that is contained in a...
research
06/08/2020

The Dual Information Bottleneck

The Information Bottleneck (IB) framework is a general characterization ...
research
04/10/2023

Randomized and Deterministic Attention Sparsification Algorithms for Over-parameterized Feature Dimension

Large language models (LLMs) have shown their power in different areas. ...
research
11/19/2021

Asymptotic Improvements on the Exact Matching Distance for 2-parameter Persistence

In the field of topological data analysis, persistence modules are used ...

Please sign up or login with your details

Forgot password? Click here to reset