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Graph Coloring as a book category covers the mathematical theory, algorithms, and applications of assigning labels or "colors" to the vertices or edges of graphs under constraints, typically so adjacent elements differ. Works in this category range from introductory textbooks explaining basic concepts (chromatic number, colorability, planar graph coloring, greedy and exact algorithms) to advanced monographs on algebraic and probabilistic methods, computational complexity (NP-completeness, approximation, parameterized complexity), and research collections of proofs and open problems. Applied books focus on using coloring ideas for scheduling, register allocation, frequency assignment, map labeling, network design and constraint-satisfaction, often emphasizing heuristics and experimental evaluation. Readers include undergraduate and graduate students, researchers in combinatorics and computer science, and practitioners in operations research and engineering seeking both rigorous theory and practical techniques.

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