The KingsGraph(m,n) command creates the m by n king's graph on m*n vertices. This is the graph which represents all legal moves of the king chess piece on an m by n chessboard.

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

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

$R≔\mathrm{KingsGraph}\left(4\,6\right)$

$R≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 24\; vertices\; and\; 68\; edges}$

$\mathrm{IsPlanar}\left(R\right)$

$\mathrm{false}$

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

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

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