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Abshoff, Sebastian: On the complexity of fundamental problems in dynamic ad-hoc networks. 2015
Content
List of Definitions and Theorems
List of Figures
List of Algorithms
Preface
Introduction
Thesis Overview
Preliminaries
Notation
The Dynamic Network Model
Fundamental Problems
Existing Results
The Algorithm by Kuhn, Lynch, and Oshman
Lower Bounds for Token-Forwarding Algorithms
Randomized Network Coding Algorithms
Related Work
Geometric Dynamic Networks
The Geometric Dynamic Network Model
Related Work
Upper Bounds for Token-Forwarding Algorithms
Lower Bounds for Token-Forwarding Algorithms
Conclusion and Unanswered Questions
Counting versus Token Dissemination
Models & Problems
Token and Unique ID Universes and Message Sizes
Related Work
Same Predecessors & Counting
Set Equality & Same Predecessors
Two-Party Communication & Set Equality
Two-Party Token Dissemination & Set Equality
Two-Party Token Dissemination & Counting
Conclusion and Unanswered Questions
Continuous Aggregation in Dynamic Networks
Models & Problems
Related Work
Static Networks
Noncontinuous Problems
Continuous Problems
T-Stable Dynamic Networks
Graph Patching Technique
Noncontinuous Extremum
Noncontinuous Summation
Continuous Extremum
Continuous Summation
Geometric Dynamic Networks
Conclusion and Unanswered Questions
Conclusion & Outlook
Future Research Directions
Bibliography
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