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PlanarGraphPlot[{{x1,y1},{x2,y2},}]

plots the Delaunay triangulation of the points {{x1,y1},}.

PlanarGraphPlot[{{x1,y1},{x2,y2},},g]

plots the points {{x1,y1},} as well as the planar graph described by the vertex adjacency list or circuit g.

Details and Options
Details and Options Details and Options
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As of Version 10, all the functionality of the ComputationalGeometry package is built into the Wolfram System. »

PlanarGraphPlot[{{x1,y1},{x2,y2},}]

plots the Delaunay triangulation of the points {{x1,y1},}.

PlanarGraphPlot[{{x1,y1},{x2,y2},},g]

plots the points {{x1,y1},} as well as the planar graph described by the vertex adjacency list or circuit g.

Details and Options

  • PlanarGraphPlot functionality is now available in the built-in Wolfram Language function DelaunayMesh .
  • To use PlanarGraphPlot, you first need to load the Computational Geometry Package using Needs ["ComputationalGeometry`"].
  • The planar graph g may be a vertex adjacency list of the form {{i,{i1,i2,}},} or a single circuit of the form {i,j,}, where i refers to the point {xi,yi}.
  • PlanarGraphPlot has the same options as Graphics , with the following addition:
  • LabelPoints True whether points are labeled
  • Valid settings for LabelPoints are True and False . With the setting LabelPoints->True , each point is labeled according to its position in the input list.
Wolfram Research (2012), PlanarGraphPlot, Wolfram Language function, https://reference.wolfram.com/language/ComputationalGeometry/ref/PlanarGraphPlot.html.

Text

Wolfram Research (2012), PlanarGraphPlot, Wolfram Language function, https://reference.wolfram.com/language/ComputationalGeometry/ref/PlanarGraphPlot.html.

CMS

Wolfram Language. 2012. "PlanarGraphPlot." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ComputationalGeometry/ref/PlanarGraphPlot.html.

APA

Wolfram Language. (2012). PlanarGraphPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ComputationalGeometry/ref/PlanarGraphPlot.html

BibTeX

@misc{reference.wolfram_2025_planargraphplot, author="Wolfram Research", title="{PlanarGraphPlot}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ComputationalGeometry/ref/PlanarGraphPlot.html}", note=[Accessed: 19-November-2025]}

BibLaTeX

@online{reference.wolfram_2025_planargraphplot, organization={Wolfram Research}, title={PlanarGraphPlot}, year={2012}, url={https://reference.wolfram.com/language/ComputationalGeometry/ref/PlanarGraphPlot.html}, note=[Accessed: 19-November-2025]}

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