Results of Combinatorial Analysis

Notation

26.1 Special Notation

Properties

26.2 Basic Definitions
26.3 Lattice Paths: Binomial Coefficients
26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
26.5 Lattice Paths: Catalan Numbers
26.6 Other Lattice Path Numbers
26.7 Set Partitions: Bell Numbers
26.8 Set Partitions: Stirling Numbers
26.9 Integer Partitions: Restricted Number and Part Size
26.10 Integer Partitions: Other Restrictions
26.11 Integer Partitions: Compositions
26.12 Plane Partitions
26.13 Permutations: Cycle Notation
26.14 Permutations: Order Notation
26.15 Permutations: Matrix Notation
26.16 Multiset Permutations
26.17 The Twelvefold Way
26.18 Counting Techniques

Applications

26.19 Mathematical Applications
26.20 Physical Applications

Computation

26.21 Tables
26.22 Software