Applied Combinatorics (Keller and Trotter)
- Page ID
- 91935
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This book arose from our feeling that a text that met our approach to Applied Combinatorics was not available. Because of the diverse set of instructors assigned to the course, the standard text was one that covered every topic imaginable (and then some), but provided little depth. We've taken a different approach, attacking the central subjects of the course description to provide exposure, but taking the time to go into greater depth in select areas to give the students a better feel for how combinatorics works. We have also included some results and topics that are not found in other texts at this level but help reveal the nature of combinatorics to students.
Front Matter
1: An Introduction to Combinatorics
2: Strings, Sets, and Binomial Coefficients
3: Induction
4: Combinatorial Basics
5: Graph Theory
6: Partially Ordered Sets
7: Inclusion-Exclusion
8: Generating Functions
9: Recurrence Equations
10: Probability
11: Applying Probability to Combinatorics
12: Graph Algorithms
13: Network Flows
14: Combinatorial Applications of Network Flows
15: Pólya's Enumeration Theorem
Back Matter