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Applied Combinatorics
The purpose of this note is to give students a broad exposure to combinatorial mathematics, using applications to emphasize fundamental concepts and techniques. Topics covered includes: Introduction to Combinatorics, Strings, Sets, and Binomial Coefficients, Induction, Combinatorial Basics, Graph Theory, Partially Ordered Sets, Generating Functions, Recurrence Equations , Probability, Applying Probability to Combinatorics, Combinatorial Applications of Network Flows, Polya’s Enumeration Theorem.
Author(s): Mitchel T. Keller and William T. Trotter
346 Pages 
An Introduction to Algebraic Combinatorics by Darij Grinberg
This note describes the following topics: generating functions, Integer partitions and q binomial coefficients, Permutations, Alternating sums, signed counting and determinants.
Author(s): Darij Grinberg
692 Pages
Combinatorics Lecture Notes by Stephan Wagner
This note describes Elementary enumeration principles, Properties of binomial coefficients, combinatorial identities, The principle of inclusion and exclusion, Enumeration by means of recursions, The pigeon hole principle, Potential functions and invariants, Some concepts in graph theory and various.
Author(s): Stephan Wagner
69 Pages
Introduction to Combinatorics by Mark Wildon
This book describes the following topics: The Derangements Problem, Binomial coefficients, Principle of Inclusion and Exclusion, Rook Polynomials, Recurrences and asymptotics, Convolutions and the Catalan Numbers, Exponential generating functions, Ramsey Theory, Lovasz Local Lemma.
Author(s): Mark Wildon
146 Pages
Combinatorics of Centers by Sebastian Konig
This PDF book Combinatorics of Centers of 0-Hecke Algebrasin Type A covers the following topics related to Combinatorics : Introduction, Preliminaries, Coxeter groups, The symmetric group, Combinatorics, enters of 0-Hecke algebras, Elements in stair form, Equivalence classes, etc.
Author(s): Sebastian Konig
59 Pages
Introduction to Combinatorics by UToronto
Combinatotics is about counting without really counting all possible cases one by one. This PDF covers the following topics related to Combinatorics : Introduction, The Pigeonhole Principle, The Principle of Extremals, The Principle of Invariants, Permutations and Combinations, Combinations with Repetition, Inclusion–Exclusion principle, Recurrence Relations, Generating Functions, Partitions of Natural Numbers.
Author(s): Stefanos Aretakis, University of Toronto, Scarborough
63 Pages
Combinatorics The Art of Counting, Bruce E. Sagan
The contents of this book include: Basic Counting, Counting with Signs, Counting with Ordinary Generating Functions, Counting with Exponential Generating Functions, Counting with Partially Ordered Sets, Counting with Group Actions, Counting with Symmetric Functions, Counting with Quasisymmetric Functions, Introduction to Representation Theory.
Author(s): Bruce E. Sagan
325 Pages
Notes on Combinatorics Peter J. Cameron
The contents of this book include: Selections and arrangements, Power series, Recurrence relations, Partitions and permutations, The Principle of Inclusion and Exclusion, Families of sets, Systems of distinct representatives, Latin squares, Steiner triple systems.
Author(s): Peter J. Cameron
130 Pages
This lecture note covers the following topics: What is Combinatorics, Permutations and Combinations, Inclusion-Exclusion-Principle and Mobius Inversion, Generating Functions, Partitions, Partially Ordered Sets and Designs.
Author(s): Torsten Ueckerdt
137 Pages