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Local algorithms for the continuous gathering problem
Introduction
Organization of the Thesis
Related Work
Bibliography Note
Gathering in the Continuous Time Model
Problem Description and Notation
Contracting Algorithms
The Worst Contracting Algorithm
The Best Contracting Algorithm
Examples of Local Contracting Algorithms
Go-On-Bisector Algorithm
Go-To-The-Gravity-Center Algorithm
Go-To-The-Center Algorithm
Go-To-The-Relative-Center Algorithm
Collisionless Gathering
Go-To-The-Center Algorithm is not Collisionless
Go-To-The-Relative-Center Algorithm in One Dimension
Go-To-The-Relative-Center Algorithm in Two Dimensions
Collisions in Go-To-The-Relative-Center Algorithm
The Collisionless Conjecture for Four Robots
Collisionless Gathering with Some Algorithmic Extensions
Safe-Go-To-The-Relative-Center Algorithm
Correctness and Runtime Analysis of the Safe-Go-To-The-Relative-Center Algorithm
Collisionless Property of the Safe-Go-To-The-Relative-Center Algorithm
The Near Gathering Problem
Conclusion and Outlook
Bibliography
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