Built-in Mathematica Symbol

LayeredGraphPlot

LayeredGraphPlot[{v_i1->v_j1, v_i2->v_j2, ...}]
generates a layered plot of the graph in which vertex v_ik is connected to vertex v_jk.

LayeredGraphPlot[{{v_i1->v_j1, lbl₁}, ...}]
associates labels lbl_k with edges in the graph.

LayeredGraphPlot[g, pos]
places the dominant vertices in the plot at position pos.

LayeredGraphPlot[m]
generates a layered plot of the graph represented by the adjacency matrix m.

LayeredGraphPlot attempts to draw the vertices of a graph in a series of "layers".

LayeredGraphPlot by default puts "dominant" vertices at the top, and puts vertices lower in the "hierarchy" progressively further down.

LayeredGraphPlot[g, pos] places the dominant vertices at position pos. Possible positions are: Top, Bottom, Left, Right.

LayeredGraphPlot has the same options as Graphics, with the following additions and changes:

DataRange	Automatic	the range of vertex coordinates to generate
DirectedEdges	True	whether to show edges as directed arrows
EdgeLabeling	True	whether to include labels given for edges
EdgeRenderingFunction	Automatic	function to give explicit graphics for edges
Frame	False	whether to draw a frame around the plot
FrameTicks	None	what ticks to include on the frame
MultiedgeStyle	Automatic	how to draw multiple edges between vertices
PackingMethod	Automatic	the method to use for packing components
PlotRangePadding	Automatic	how much padding to include around the plot
PlotStyle	Automatic	overall graphics directives for vertices and edges
SelfLoopStyle	Automatic	how to draw edges linking a vertex to itself
VertexCoordinateRules	Automatic	rules for explicit vertex coordinates
VertexLabeling	Automatic	whether to show vertex names as labels
VertexRenderingFunction	Automatic	function to give explicit graphics for vertices

With the default setting VertexLabeling->Automatic, vertices are displayed as points, with their names v_k given in tooltips.

Tooltip[v_k, vlab] can be used to specify an alternative tooltip for a vertex. Tooltip[v_i->v_j, lbl] specifies a tooltip for an edge.

With VertexRenderingFunction->f, each vertex is rendered with the graphics primitives given by f[r_k, v_k], where r_k is the position where the vertex is being placed, and v_k is its name.

With EdgeRenderingFunction->g, each edge is rendered with the graphics primitives given by g[{r_i, ..., r_j}, {v_i, v_j}, lbl_ij], where r_i, r_j are the beginning and ending points of the edge, v_i, v_j are the beginning and ending vertices, and lbl_ij is any label specified for the edge.

The graphics primitives obtained by applying by EdgeRenderingFunction and VertexRenderingFunction are in effect directly spliced into the graphic generated by LayeredGraphPlot. Inset can be used to insert an arbitrary expression.