RandomKSetPartition[set, k] returns a random set partition of set with k blocks. RandomKSetPartition[n, k] returns a random set partition of the first n natural numbers into ...

SetPartitions[set] returns the list of set partitions of set. SetPartitions[n] returns the list of set partitions of {1, 2, ..., n}.

ShakeGraph[g, d] performs a random perturbation of the vertices of graph g, with each vertex moving, at most, a distance d from its original position.

TableauxToPermutation[t_1, t_2] constructs the unique permutation associated with Young tableaux t_1 and t_2, where both tableaux have the same shape.

TransposePartition[p] reflects a partition p of k parts along the main diagonal, creating a partition with maximum part k.

VertexColor is an option that allows the user to associate colors with vertices.

VertexWeight is an option that allows the user to associate weights with vertices.

ArgColor, ArgShade and ColorCircle are obsolete, with simple definitions in terms of system functions.

Ulps is a unit of error in machine arithmetic.

FieldIrreducible[f, s] gives the irreducible polynomial in the symbol s associated with the field f.