dimension=2 or 3

The number of dimensions in the layout to return. The default is 2.

layout=default, bipartite, circle, fixed, grid, network, planar, random, spectral, spring, tree, or user.

The layout option directs GetVertexPositions to return a previously computed layout with the specified layout method. The name style is a synonym for this option.

If no layout method is specified, the vertex positions corresponding to the default drawing style of the graph are returned.

output=list or Matrix

Specifies whether the points should be output as a list of lists or as a Matrix. The default is list.

The GetVertexPositions('G', 'opts') command returns a list of coordinates representing the positions of the vertices in a previously computed layout.

If a layout is specified with the layout option and this layout was not previously computed, the empty list is returned.

$\mathrm{with}\left(\mathrm{GraphTheory}\right)\:$

$\mathrm{with}\left(\mathrm{SpecialGraphs}\right)\:$

$\mathrm{vp}≔\mathrm{GetVertexPositions}\left(\mathrm{CycleGraph}\left(9\right)\right)$

$\mathrm{vp}≔\left[\left[6.1232340\times {10}^{\mathrm{-17}}\,1.\right]\,\left[0.64278761\,0.76604444\right]\,\left[0.98480775\,0.17364818\right]\,\left[0.86602540\,\mathrm{-0.50000000}\right]\,\left[0.34202014\,\mathrm{-0.93969262}\right]\,\left[\mathrm{-0.34202014}\,\mathrm{-0.93969262}\right]\,\left[\mathrm{-0.86602540}\,\mathrm{-0.50000000}\right]\,\left[\mathrm{-0.98480775}\,0.17364818\right]\,\left[\mathrm{-0.64278761}\,0.76604444\right]\right]$

$G≔\mathrm{Graph}\left(\mathrm{Trail}\left(0\,1\,2\,3\,4\,5\,6\,7\,8\,9\,1\right)\,\mathrm{Trail}\left(4\,0\,7\right)\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; unweighted\; graph\; with\; 10\; vertices\; and\; 12\; edge(s)}$

$\mathrm{SetVertexPositions}\left(G\,\left[\left[0\,0\right]\,\mathrm{op}\left(\mathrm{vp}\right)\right]\right)\:$

$\mathrm{DrawGraph}\left(G\right)$

$P≔\mathrm{PetersenGraph}\left(\right)$

$P≔\mathrm{Graph\; 2:\; an\; undirected\; unweighted\; graph\; with\; 10\; vertices\; and\; 15\; edge(s)}$

$\mathrm{DrawGraph}\left(P\,\mathrm{layout}=\mathrm{spring}\right)$

$S≔\mathrm{GetVertexPositions}\left(P\,\mathrm{layout}=\mathrm{spring}\right)$

$S≔\left[\left[0.966139924305212\,0.124423409473989\right]\,\left[0.671492362648830\,\mathrm{-0.622945284595226}\right]\,\left[0.0883553749810576\,\mathrm{-0.911677655976657}\right]\,\left[\mathrm{-0.684646177755365}\,\mathrm{-0.692940942250190}\right]\,\left[0.0914644149940569\,\mathrm{-0.184725679296864}\right]\,\left[0.285604708677752\,1.\right]\,\left[0.364102368397874\,0.407906501760275\right]\,\left[\mathrm{-0.268943385452634}\,0.543170254501320\right]\,\left[\mathrm{-0.545132908598927}\,\mathrm{-0.0422890152843517}\right]\,\left[\mathrm{-0.968436682197856}\,0.379078411667707\right]\right]$

$Q≔\mathrm{CopyGraph}\left(P\right)$

$Q≔\mathrm{Graph\; 3:\; an\; undirected\; unweighted\; graph\; with\; 10\; vertices\; and\; 15\; edge(s)}$

$\mathrm{SetVertexPositions}\left(Q\,S\right)$

$\mathrm{DrawGraph}\left(Q\right)$

The GraphTheory[GetVertexPositions] command was updated in Maple 2020.

The dimension, layout and output options were introduced in Maple 2020.

For more information on Maple 2020 changes, see Updates in Maple 2020.