RankedEmbedding[l] takes a set partition of vertices and returns an embedding of the vertices in the plane such that the vertices in each block occur on a vertical line with block vertices on the leftmost line, block vertices in the next line, and so on. |
 takes a graph and a set partition of the vertices of and returns the graph with vertices embedded according to . |
 takes a graph and a set of vertices of and returns a ranked embedding of in which vertices in are in block , vertices at distance from any vertex in block are in block , and so on. |