GlobalClusteringCoefficient returns the global clustering coefficient for the given graph G.

The global clustering coefficient is a number between 0 and 1 measuring how close the graph G is to a complete graph.

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

$G≔\mathrm{Graph}\left(\left[1\,2\,3\,4\,5\,6\right]\,\left\{\left\{1\,3\right\}\,\left\{1\,6\right\}\,\left\{2\,6\right\}\,\left\{2\,4\right\}\,\left\{3\,6\right\}\,\left\{4\,6\right\}\,\left\{4\,5\right\}\,\left\{5\,6\right\}\right\}\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 6\; vertices\; and\; 8\; edge(s)}$

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

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

$\frac{9}{17}$

The GraphTheory[GlobalClusteringCoefficient] command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016.