Applied Combinatorics

This is a text with more than enough material for a one-semester introduction to combinatorics. The original target audience was primarily computer science majors, but the topics included make it suitable for a variety of different students. Topics include Basic enumeration: strings, sets, binomial [...]
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This is a text with more than enough material for a one-semester introduction to combinatorics. The original target audience was primarily computer science majors, but the topics included make it suitable for a variety of different students. Topics include Basic enumeration: strings, sets, binomial coefficients Recursion and mathematical induction Graph theory Partially ordered sets Additional enumeration techniques: inclusion-exclusion, generating functions, recurrence relations, and Polya theory. Graph algorithms: minimum weight spanning trees, Dijkstra's algorithm, network flows This text is open source and available under a Creative Commons license. To access the free HTML and PDF versions of the text, visit http: //rellek.net/appcomb/.