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Applied Combinatorics
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  • Title: Applied Combinatorics
  • Author(s) Mitchel T. Keller, William T. Trotter
  • Publisher: CreateSpace (2017); eBook (Creative Commons Licensed, 2017)
  • License(s): CC BY-SA 4.0
  • Paperback: 392 pages
  • eBook: HTML and PDF (393 pages)
  • Language: English
  • ISBN-10: 1534878653
  • ISBN-13: 978-1534878655
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Book Description

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)
  • 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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