User:Tgaede/Books/Combinatorics


 * Introduction
 * History of combinatorics


 * Enumerative
 * Enumerative combinatorics
 * Twelvefold way
 * Symbolic method (combinatorics)
 * Generating function
 * Asymptotic analysis
 * Bijective proof


 * Partition Theory
 * Partition (number theory)
 * Q-Pochhammer symbol
 * Special functions
 * Orthogonal polynomials
 * Composition (combinatorics)
 * Stars and bars (combinatorics)
 * Necklace (combinatorics)
 * Necklace splitting problem


 * Design Theory
 * Combinatorial design
 * Block design


 * Combinatorial Geometry
 * Finite geometry
 * Geometry
 * Discrete geometry
 * Geometric combinatorics
 * Convex geometry
 * Polyhedral combinatorics
 * Convex polytope
 * Cauchy's theorem (geometry)
 * Permutohedron
 * Associahedron
 * Birkhoff polytope
 * Order theory


 * Matroid Theory
 * Matroid


 * Extremal Combinatorics
 * Extremal combinatorics
 * Ramsey theory
 * Probabilistic method


 * Algebraic
 * Algebraic combinatorics
 * Young tableau


 * Words
 * Combinatorics on words
 * Chomsky hierarchy
 * Word (group theory)


 * Topological
 * Topological combinatorics
 * Combinatorial topology
 * Finite topological space
 * Sperner's lemma
 * Topological graph theory


 * Arithmetic
 * Additive number theory
 * Arithmetic combinatorics


 * Infinitary
 * Infinite set
 * Infinitary combinatorics


 * Optimization
 * Combinatorial optimization
 * Optimization problem
 * Shortest path problem
 * Shortest-path tree
 * Supply-chain optimization
 * Flow network
 * Spanning tree
 * Matching (graph theory)


 * Coding Theory
 * Coding theory
 * Data compression
 * Error detection and correction
 * Cryptography
 * Line code
 * Linear code
 * Block code
 * Hamming code
 * Repetition code
 * Parity bit
 * BCH code
 * Goppa code
 * Reed–Solomon error correction
 * Reed–Muller code
 * Hamming bound
 * Sphere packing
 * Binary Golay code
 * Convolutional code
 * Error correction code
 * Folded Reed–Solomon code
 * Hamming distance
 * Hamming weight
 * Lee distance


 * Dynamical Systems
 * Combinatorics and dynamical systems


 * Applications
 * Combinatorics and physics
 * Combinatorial biology
 * Combinatorial chemistry
 * Combinatorial data analysis
 * Combinatorial game theory
 * Combinatorial group theory