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.
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.
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.
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.
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.
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