Applied Combinatorics by Mitchel T. Keller PDF

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Applied Combinatorics by Mitchel T. Keller pdf

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 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

About the Author(s) – Applied Combinatorics

  • Mitchel T. Keller is an Assistant Professor of Mathematics at Washington and Lee University in Lexington, Virginia.
  • William T. Trotter is a Professor of Mathematics at the Georgia Institute of Technology in Atlanta.
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