RGFToSetPartition[rgf, set] converts the restricted growth function rgf into the corresponding set partition of set.

RootedEmbedding[g, v] constructs a rooted embedding of graph g with vertex v as the root. RootedEmbedding[g] constructs a rooted embedding with a center of g as the root.

RotateVertices[v, \[Theta]] rotates each vertex position in list v by \[Theta] radians about the origin (0, 0). RotateVertices[g, \[Theta]] rotates the embedding of the graph ...

SamenessRelation[l] constructs a binary relation from a list l of permutations, which is an equivalence relation if l is a permutation group.

SetPartitionQ[sp, s] determines if sp is a set partition of set s. SetPartitionQ[sp] tests if sp is a set of disjoint sets.

SetPartitionToRGF[sp, set] converts the set partition sp of set into the corresponding restricted growth function.

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.

StableMarriage[mpref, fpref] finds the male optimal stable marriage defined by lists of permutations describing male and female preferences.

SymmetricGroupIndex[n, x] returns the cycle index of the symmetric group on n symbols, expressed as a polynomial in x[1], x[2], ..., x[n].

TableauClasses[p] partitions the elements of permutation p into classes according to their initial columns during Young tableaux construction.