Color-Induced Graph Colorings

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Focusing on color-induced graph colorings, this book explores vertex colorings derived from edge colorings, examining various properties and outcomes. It covers both proper and unrestricted edge colorings, leading to discussions on proper and rainbow vertex colorings. Key concepts include irregular, strong, modular, edge-graceful, twin edge, and binomial colorings. With a blend of foundational background, results, and open questions, it serves as a resource for mathematicians, researchers, and graduate students interested in contemporary graph theory.