NumberOfPermutationsByTypes[l] gives the number of permutations of type l.

NumberOfSpanningTrees[g] gives the number of labeled spanning trees of graph g.

RankRGF[f] returns the rank of a restricted growth function (RGF) f in the lexicographic order of all RGFs.

RankSubset[l, s] gives the rank, in canonical order, of subset s of set l.

StronglyConnectedComponents[g] gives the strongly connected components of directed graph g as lists of vertices.

V[g] gives the order or number of vertices of the graph g.

WeaklyConnectedComponents[g] gives the weakly connected components of directed graph g as lists of vertices.

ActiveInputAliases[] returns a list of all active aliases in the current notebook. ActiveInputAliases[notebook] returns a list of all active aliases in the notebook notebook.

AbsIJK[q] gives the absolute value of the pure quaternion part of q.

AdjustedSignIJK[q] gives the sign of the pure quaternion part of q, adjusted so its first nonzero component is positive.