triadic_census

triadic_census(G, nodelist=None)

Determines the triadic census of a directed graph.

The triadic census is a count of how many of the 16 possible types of triads are present in a directed graph. If a list of nodes is passed, then only those triads are taken into account which have elements of nodelist in them.

Parameters

Gdigraph

A NetworkX DiGraph

nodelistlist

List of nodes for which you want to calculate triadic census

Returns

censusdict

Dictionary with triad type as keys and number of occurrences as values.

See also

triad_graph

Notes

This algorithm has complexity \(O(m)\) where \(m\) is the number of edges in the graph.

References

1

Vladimir Batagelj and Andrej Mrvar, A subquadratic triad census algorithm for large sparse networks with small maximum degree, University of Ljubljana, http://vlado.fmf.uni-lj.si/pub/networks/doc/triads/triads.pdf