Titlebook: Brooks‘ Theorem; Graph Coloring and C Michael Stiebitz,Thomas Schweser,Bjarne Toft Book 2024 The Editor(s) (if applicable) and The Author(s

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Degeneracy and Colorings,at most 6. While Brooks’ theorem provides a characterization of graphs satisfying . = Δ+ 1, a characterization of graphs satisfying . = col seems to be unattainable. A graph satisfies col = Δ+ 1 if and only if it has a Δ-regular component.

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Book 2024orical remarks, comments and further results. The book is also suitable for graduate courses in graph theory and includes exercises. The book is intended for readers wanting to dig deeper into graph coloring theory than what is possible in the existing book literature. There is a comprehensive list of references to original sources.

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