One-Factorizations

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Focusing on the intersection of combinatorial designs and graph theory, this book serves as both a graduate-level textbook and a professional reference. It begins with a concise overview of basic graph theory, making it accessible to readers with some foundational knowledge. Subsequent chapters delve into one-factors and one-factorizations, exploring their applications in combinatorial arrays and tournaments. This structured approach not only aids in understanding essential concepts but also highlights the practical implications of one-factorizations in various mathematical contexts.