Graph Coloring

From Games to Deterministic and Quantum Approaches

By: Maurice Clerc

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Hardcover | 16 December 2024 | Edition Number 1

At a Glance

Hardcover
146 Pages

Dimensions(cm)
25.4 x 17.78 x 0.97

Hardcover

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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.

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