compute the local clustering coefficient
(optional) a vertex of G
LocalClusteringCoefficient returns the local clustering coefficient for a specified vertex in the the given graph G, or if no vertex is specified, a list of the coefficients for each vertex in G.
The local clustering coefficient is a number between 0 and 1 measuring how close the neighborhood of v is to a clique.
For a node v with n neighbors, the local cluster coefficient is the number of edges between neighbors of v (counting undirected edges twice) and the number n⁢n−1, which is the maximum number of (directed) edges possible between n neighbors.
G ≔ Graph⁡1,2,3,4,5,6,1,3,1,6,2,6,2,4,3,6,4,6,4,5,5,6
G≔Graph 1: an undirected unweighted graph with 6 vertices and 8 edge(s)
Compute the clustering coefficient for vertex 6
Produce a list of all local clustering coefficients
The GraphTheory[LocalClusteringCoefficient] command was introduced in Maple 2016.
For more information on Maple 2016 changes, see Updates in Maple 2016.
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