This combinatorics text provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. It presents the computer and software algorithms in pseudo-code and incorporates definitions, theorems, proofs, examples, and nearly 300 illustrations as pedagogical elements of the exposition. Numerous problems, solutions, and hints reinforce basic skills and assist with creative problem solving. The author also offers a website with extensive graph theory informational resources as well as a computational engine to help with calculations for some of the exercises.

Preface. Introduction to Combinatorics. Sequences. Solving Recurrences. Evaluating Sums. Subsets and Binomials. Partitions and Permutations. Integer Operators. Graph Fundamentals. Graph Theory Topics. Graph Enumeration. Designs. Appendix. Bibliography. Solutions and Hints. Indices.