Balaban11CageGraph returns the Balaban 11-cage graph.

This is a cage graph with 112 vertices, 168 edges, diameter 86, and girth 11.

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

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

$G≔\mathrm{Balaban11CageGraph}\left(\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 112\; vertices\; and\; 168\; edge(s)}$

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

$11$

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

The GraphTheory[SpecialGraphs][Balaban11CageGraph] command was introduced in Maple 2021.

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