The opts argument can contain one or more of the options shown below.

directed=true or false

This option specifies whether the resulting graph should be directed. The default is false.

layout=true or false

This option specifies whether a default coordinate assignment for the vertices of the graph should be made. The default is true.

CycleGraph(n) outputs a graph which is a cycle on n vertices labeled 1, 2, ..., n.

PathGraph(n) outputs a graph which is a path on n vertices labeled 1, 2, ..., n.

In both cases you can input the labels for the vertices as a list of integers, strings, or symbols.

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

$C≔\mathrm{CycleGraph}\left(4\right)$

$C≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 4\; vertices\; and\; 4\; edge(s)}$

$\mathrm{Edges}\left(C\right)$

$\left\{\left\{1\,2\right\}\,\left\{1\,4\right\}\,\left\{2\,3\right\}\,\left\{3\,4\right\}\right\}$

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

$P≔\mathrm{PathGraph}\left(\left[a\,b\,c\,d\right]\right)$

$P≔\mathrm{Graph\; 2:\; an\; undirected\; graph\; with\; 4\; vertices\; and\; 3\; edge(s)}$

$\mathrm{Edges}\left(P\right)$

$\left\{\left\{a\,b\right\}\,\left\{b\,c\right\}\,\left\{c\,d\right\}\right\}$

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

The GraphTheory[CycleGraph] and GraphTheory[PathGraph] commands were updated in Maple 2021.

The directed and layout options were introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.