The DyckGraph() command returns the Dyck graph, a 3-regular graph with 32 vertices and 48 edges, named after Walther von Dyck.

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

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

$G≔\mathrm{DyckGraph}\left(\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 32\; vertices\; and\; 48\; edge(s)}$

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

$\mathrm{false}$

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

"Dyck graph", Wikipedia. http://en.wikipedia.org/wiki/Dyck_graph