Combinatorics and Graph Theory PDF

This book evolved from several courses in combinatories and graph theory given et Appalachian State University and UCLA. Chapter 1 focuses on finite graph theory, including trees, planarity, coloring, matching, and Ramsey theory. Chapter 2 studies combinatories, including the principle of inclusion and exclusion, generating functions, recurrence relations, Polya theory, the stable marriage problem, and several important classes of numbers. Chapter 3 presents infinite pigeonhole principles, Königs lemma, and Ramseys theorem, and discusses their connections to axiomatic set theory. The text is written in an enthusiastic und lively style. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fort that mathematics is a living discipline. The text is primarily directed toward upper-division undergraduate students, but lower-division undergraduates with a penchant for proof and graduate students seeking an introduction to these subjects will also find much of interest.

Math 565: Combinatorics and Graph Theory. Professor: David E Speyer. Fall 2013. Course meets: Tuesdays and Thursdays, 11:30-1:00, 3088 East Hall. Combinatorics and Graph Theory. John M. Harris, Jeffry L. Hirst, and Michael J. Mossinghoff. Errata for Second Edition (Springer, 2008). If you spot an error in ...