This book evolved from several courses in combinatorics and graph theory given at Appalachian State University and UCLA. Chapterss1 focuses on finite graph theory, including trees, planarity, coloring, matchings, and Ramsey Theory. Chapterss2 studies combinatorics, including the principle of inclusion and exclusion, generating functions, recurrence relations, P'äoülya Theory, the stable marriage problem, and several important classes of numbers. Chapterss3 presents infinite pigeonhole principles, K"äoünig's Lemma, and Ramsey's Theorem, and discusses their connections to axiomatic set theory.
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