The WheelGraph(n) function creates the wheel graph on n+1 vertices.

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

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

$W≔\mathrm{WheelGraph}\left(5\right)$

$W≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 6\; vertices\; and\; 10\; edge(s)}$

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

$\left\{\left\{0\,1\right\}\,\left\{0\,2\right\}\,\left\{0\,3\right\}\,\left\{0\,4\right\}\,\left\{0\,5\right\}\,\left\{1\,2\right\}\,\left\{1\,5\right\}\,\left\{2\,3\right\}\,\left\{3\,4\right\}\,\left\{4\,5\right\}\right\}$

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