Clerc M. Graph Coloring. From Games to Deterministic and Quantum Approaches 2025

Textbook in PDF format

This book explores the problem of minimal valid graph coloring, first in the form of games and then of resolution algorithms. Emphasis is placed on deterministic, guaranteed and non-guaranteed methods. Stochastic methods are then just mentioned because they are already widely described in previous publications.
The study then details a general quantum algorithm of polynomial complexity. A final chapter provides elements of reflection on diplomatic algorithms that, for the problem of coloring under resource constraints, seek a compromise minimizing frustrations. The appendix includes some mathematical additions and the source codes of the main algorithms presented, in particular the one of the quantum method.
Preface
Games
A Few Applications
Encoding
Deterministic Resolutions
Stochastic Methods
A Quantum Method
Diplomatic Algorithms
Appendix
References
Index