The StarGraph(n) command returns the star graph with n leaves. Namely it returns the complete bipartite graph CompleteGraph(1,n).

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

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

$G≔\mathrm{StarGraph}\left(5\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 6\; vertices\; and\; 5\; edge(s)}$

$\mathrm{IsTree}\left(G\right)$

$\mathrm{true}$

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