One (more) line on the most Ancient Algorithm in History

08/23/2018
by   Ilya Volkovich, et al.
0

We give a new simple and short ("one-line") analysis for the runtime of the well-known Euclidean Algorithm. While very short simple, the obtained upper bound in near-optimal.

READ FULL TEXT

page 1

page 2

page 3

research
04/15/2020

A Small Improvement to the Upper Bound on the Integrality Ratio for the s-t Path TSP

In this paper we investigate the integrality ratio of the standard LP re...
research
07/30/2021

Near-Optimal Spanners for General Graphs in (Nearly) Linear Time

Let G = (V,E,w) be a weighted undirected graph on |V| = n vertices and |...
research
11/06/2019

On the Average Complexity of the k-Level

Let A be an arrangement of n lines in the Euclidean plane. The <i>k-leve...
research
10/26/2021

Efficient solvers for Armijo's backtracking problem

Backtracking is an inexact line search procedure that selects the first ...
research
12/26/2021

Reducing Planning Complexity of General Reinforcement Learning with Non-Markovian Abstractions

The field of General Reinforcement Learning (GRL) formulates the problem...
research
11/10/2022

A Closer Cut: Computing Near-Optimal Lawn Mowing Tours

For a given polygonal region P, the Lawn Mowing Problem (LMP) asks for a...
research
10/09/2021

The GKK Algorithm is the Fastest over Simple Mean-Payoff Games

We study the algorithm of Gurvich, Khachyian and Karzanov (GKK algorithm...

Please sign up or login with your details

Forgot password? Click here to reset