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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 
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
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
Algebraic Combinatorics Lecture Notes
This book explains the following topics: Diagram Algebras and Hopf Algebras, Group Representations, Sn-Representations Intro, Decomposition and Specht Modules, Fundamental Specht Module Properties and Branching Rules, Representation Ring for Sn and its Pieri Formula, Pieri for Schurs, Kostka Numbers, Dual Bases, Cauchy Identity, Finishing Cauchy, Littlewood-Richardson Rule, Frobenius Characteristic Map, Algebras and Coalgebras, Skew Schur Functions and Comultiplication, Sweedler Notation, k-Coalgebra Homomorphisms, Subcoalgebras, Coideals, Bialgebras, Bialgebra Examples, Hopf Algebras Defined, Properties of Antipodes and Takeuchi’s Formula, etc.
Author(s): Sara Billey, Josh Swanson
101 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