NextComposition (Combinatorica Package Symbol)

NextComposition[l] constructs the integer composition that follows l in a canonical order.

NextSubset (Combinatorica Package Symbol)

NextSubset[l, s] constructs the subset of l following subset s in canonical order.

PermutationToTableaux (Combinatorica Package Symbol)

PermutationToTableaux[p] returns the tableaux pair that can be constructed from p using the Robinson\[Dash]Schensted\[Dash]Knuth correspondence.

RandomComposition (Combinatorica Package Symbol)

RandomComposition[n, k] constructs a random composition of integer n into k parts.

RandomPartition (Combinatorica Package Symbol)

RandomPartition[n] constructs a random partition of integer n.

RandomTableau (Combinatorica Package Symbol)

RandomTableau[p] constructs a random Young tableau of shape p.

SamenessRelation (Combinatorica Package Symbol)

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

TableauClasses (Combinatorica Package Symbol)

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

Tableaux (Combinatorica Package Symbol)

Tableaux[p] constructs all tableaux having a shape given by integer partition p.

TableauxToPermutation (Combinatorica Package Symbol)

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.