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LayeredGraphPlot

LayeredGraphPlot[{vi1->vj1, vi2->vj2, ...}]
generates a layered plot of the graph in which vertex vik is connected to vertex vjk.
LayeredGraphPlot[{{vi1->vj1, lbl1}, ...}]
associates labels lblk 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.
  • The vertex names vk and the labels lblk can be any expressions.
DataRangeAutomaticthe range of vertex coordinates to generate
DirectedEdgesTruewhether to show edges as directed arrows
EdgeLabelingTruewhether to include labels given for edges
EdgeRenderingFunctionAutomaticfunction to give explicit graphics for edges
FrameFalsewhether to draw a frame around the plot
FrameTicksNonewhat ticks to include on the frame
MultiedgeStyleAutomatichow to draw multiple edges between vertices
PackingMethodAutomaticthe method to use for packing components
PlotRangePaddingAutomatichow much padding to include around the plot
PlotStyleAutomaticoverall graphics directives for vertices and edges
SelfLoopStyleAutomatichow to draw edges linking a vertex to itself
VertexCoordinateRulesAutomaticrules for explicit vertex coordinates
VertexLabelingAutomaticwhether to show vertex names as labels
VertexRenderingFunctionAutomaticfunction to give explicit graphics for vertices
  • With the default setting VertexLabeling->Automatic, vertices are displayed as points, with their names vk given in tooltips.
  • Tooltip[vk, vlab] can be used to specify an alternative tooltip for a vertex. Tooltip[vi->vj, lbl] specifies a tooltip for an edge.
  • With VertexRenderingFunction->f, each vertex is rendered with the graphics primitives given by f[rk, vk], where rk is the position where the vertex is being placed, and vk is its name.
  • With EdgeRenderingFunction->g, each edge is rendered with the graphics primitives given by g[{ri, ..., rj}, {vi, vj}, lblij], where ri, rj are the beginning and ending points of the edge, vi, vj are the beginning and ending vertices, and lblij is any label specified for the edge.
  • In the graphics generated by LayeredGraphPlot, edges are effectively drawn first, and vertices afterwards.
  • The graph does not need to be connected. Disconnected components are typically arranged so as to fill area roughly uniformly.
  • When a graph is specified by an adjacency matrix, the names of its vertices are taken to be successive integers starting at 1.
  • With the default setting MultiedgeStyle->Automatic, multiple edges are not shown if the graph is specified by an adjacency matrix.
Draw a directed graph using a hierarchical layout:
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Include vertex labels:
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Show edge labels:
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Draw a graph specified by its adjacency matrix:
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Drawing a graph with different orientation from the default:
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New in 6