Introduction to Combinatorics by Mark Wildon

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

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 by Joy Morris

This PDF book covers the following topics related to Combinatorics : What is Combinatorics, Basic Counting Techniques, Permutations, Combinations, and the Binomial Theorem, Bijections and Combinatorial Proofs, Counting with Repetitions, Induction and Recursion, Generating Functions, Generating Functions and Recursion, Some Important Recursively-Defined Sequences, Other Basic Counting Techniques, Basics of Graph Theory, Moving through graphs,Euler and Hamilton, Graph Colouring, Planar graphs, Latin squares, Designs, More designs, Designs and Codes.

Author(s): Joy Morris, University of Lethbridge

357 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

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