The Vertex Coloring Problem and Its Generalizations

The Vertex Coloring Problem and Its Generalizations

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UNIVERSITA DEGLI STUDI DI BOLOGNA

Dottorato di Ricerca in
Automatica e Ricerca Operativa

XIX Ciclo

The Vertex Coloring Problem and its Generalizations

Enrico Malaguti

A.A. 2003–2006

Contents

  • I
  • Vertex Coloring Problems
  • 9

CONTENTS

  • II Fair Routing
  • 93

  • CONTENTS
  • CONTENTS

Acknowledgments

ACKNOWLEDGMENTS

Keywords

Keyworks

List of Figures

LIST OF FIGURES

List of Tables

LIST OF TABLES

Chapter 1

Introduction

1.1 The Vertex Coloring Problem and its Generalizations

1

1Four are enough for any map, see Appel, Haken and Koch [10], the Four Color Conjecture was proposed by Francis Guthrie in 1852

Introduction

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The Vertex Coloring Problem and its Generalizations

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Introduction

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The Vertex Coloring Problem and its Generalizations

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Introduction

1.2 Fair Routing

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Fair Routing

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Introduction

Part I

Vertex Coloring Problems

Chapter 2

A Metaheuristic Approach for the Vertex Coloring Problem

1

2.1 Introduction

1The results of this chapter appear in [84].

A Metaheuristic Approach for the Vertex Coloring Problem

2.1.1 The Heuristic Algorithm MMT

Introduction

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2.1.2 Initialization Step

A Metaheuristic Approach for the Vertex Coloring Problem

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PHASE 1: Evolutionary Algorithm

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2.2 PHASE 1: Evolutionary Algorithm

2.2.1 Tabu Search Algorithm

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