Similarity Measures

Functions for estimating the small-world-ness of graphs.

A small world network is characterized by a small average shortest path length, and a large clustering coefficient.

Small-worldness is commonly measured with the coefficient sigma or omega.

Both coefficients compare the average clustering coefficient and shortest path length of a given graph against the same quantities for an equivalent random or lattice graph.

For more information, see the Wikipedia article on small-world network [1].

[1]Small-world network::
random_reference(G[, niter, connectivity, seed]) Compute a random graph by swapping edges of a given graph.
lattice_reference(G[, niter, D, …]) Latticize the given graph by swapping edges.
sigma(G[, niter, nrand, seed]) Returns the small-world coefficient (sigma) of the given graph.
omega(G[, niter, nrand, seed]) Returns the small-world coefficient (omega) of a graph