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Discrete Mathematics—Wolfram Language Documentation

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The Wolfram Language has been used to make many important discoveries in discrete mathematics over the past two decades. Its integration of highly efficient and often original algorithms together with its high-level symbolic language has made it a unique environment for the exploration, development, and application of discrete mathematics.

Tuples  ▪  Subsets  ▪  Union  ▪  Intersection  ▪  Complement  ▪  DisjointQ  ▪  ...

Permutations  ▪  Sort  ▪  Ordering  ▪  Signature  ▪  RandomSample  ▪  ...

PermutationGroup  ▪  GroupOrder  ▪  GroupElements  ▪  GroupElementQ  ▪  ...

Factorial  ▪  Binomial  ▪  Fibonacci  ▪  StirlingS1  ▪  PartitionsP  ▪  IntegerPartitions  ▪  FiniteGroupCount  ▪  ...

RSolve — solve recurrence equations

Sum  ▪  GeneratingFunction  ▪  ZTransform  ▪  DifferenceDelta  ▪  ContinuedFractionK  ▪  ...

FindSequenceFunction — find functions for integer sequences

RecurrenceTable  ▪  LinearRecurrence  ▪  ...

StringReplaceList  ▪  IntegerDigits  ▪  BitXor  ▪  BitAnd

ReplaceList — generate a list of forms matching a pattern

Graph — represent an undirected, directed, or mixed graph, or a multigraph

FindShortestPath  ▪  FindCycle  ▪  FindGraphIsomorphism  ▪  ...

TreeGraph  ▪  KaryTree  ▪  FindSpanningTree  ▪  ClusteringTree  ▪  ...

Groupings — generate all possible tree expressions from lists of elements

FindMinimum, Minimize — solve integer programming problems

FindShortestTour — solve traveling salesman problems

KnapsackSolve  ▪  FrobeniusSolve

And  ▪  Or  ▪  SatisfiableQ  ▪  BooleanFunction  ▪  BooleanMinimize  ▪  ...

FiniteGroupData  ▪  LatticeData  ▪  KnotData

CellularAutomaton  ▪  TuringMachine  ▪  SubstitutionSystem  ▪  RulePlot

Encrypt  ▪  Decrypt  ▪  GenerateSymmetricKey  ▪  ...

▪
• List as Sets
▪
• Ordering in Lists
▪
• Combinatorial Functions
▪
• Solving Recurrence Equations
▪
• Operations on Strings
▪
• Graph Drawing
▪
• Cellular Automata

▪
• Combinatorica Package
▪
• Graph Utilities Package
▪
• String Manipulation
▪
• Number Theory
▪
• Computational Geometry
▪
• Analyzing Discrete & Integer Data
▪
• Finite Fields
▪
• List Manipulation

• Demonstrations related to Discrete Mathematics (Wolfram Demonstrations Project)
• Wolfram Community: Mathematics

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