The LadderGraph(n) function creates the ladder graph on 2n vertices.

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

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

$L≔\mathrm{LadderGraph}\left(5\right)$

$L≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 10\; vertices\; and\; 13\; edges}$

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

$\left\{\left\{1\,2\right\}\,\left\{1\,3\right\}\,\left\{2\,4\right\}\,\left\{3\,4\right\}\,\left\{3\,5\right\}\,\left\{4\,6\right\}\,\left\{5\,6\right\}\,\left\{5\,7\right\}\,\left\{6\,8\right\}\,\left\{7\,8\right\}\,\left\{7\,9\right\}\,\left\{8\,10\right\}\,\left\{9\,10\right\}\right\}$

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

The GraphTheory[SpecialGraphs][LadderGraph] command was introduced in Maple 2021.

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