NthPair[n] returns the n\[Null]^th unordered pair of distinct positive integers, when sequenced to minimize the size of the larger integer. Pairs that have the same larger ...

ParentsToPaths[l, i, j] takes a list of parents l and returns the path from i to j encoded in the parent list. ParentsToPaths[l, i] returns the paths from i to all vertices.

PermutationWithCycle[n, {i, j, ...}] gives a size-n permutation in which {i, j, ...} is a cycle and all other elements are fixed points.

RadialEmbedding[g, v] constructs a radial embedding of the graph g in which vertices are placed on concentric circles around v depending on their distance from v. ...

RankBinarySubset[l, s] gives the rank of subset s of set l in the ordering of subsets of l, obtained by interpreting these subsets as binary string representations of ...

RankGrayCodeSubset[l, s] gives the rank of subset s of set l in the Gray code ordering of the subsets of l.

RankKSubset[s, l] gives the rank of k-subset s of set l in the lexicographic ordering of the k-subsets of l.

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 ...

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].

TranslateVertices[v, {x, y}] adds the vector {x, y} to the vertex embedding location of each vertex in list v. TranslateVertices[g, {x, y}] translates the embedding of the ...