small.world {brainGraph}

Calculate graph small-worldness

Description

small.world calculates the normalized characteristic path length and clustering coefficient based on observed and random graphs, used to calculate the small-world coefficient \sigma.

Usage

small.world(g.list, rand)

Arguments

g.list

A brainGraphList object or list of graphs

rand

List of (lists of) equivalent random graphs (output from sim.rand.graph.par)

Value

A data.table with the following components:

density

The range of density thresholds used.

N

The number of random graphs that were generated.

Lp, Lp.rand, Lp.norm

The observed, average random, and normalized characteristic path length.

Cp, Cp.rand, Cp.norm

The observed, average random, and normalized clustering coefficient.

sigma

The small-world measure of the graph.

Author(s)

Christopher G. Watson, [e-mail]

References

Watts, D.J. and Strogatz S.H. (1998) Collective dynamics of "small-world" networks. Nature, 393, 440–442. doi: 10.1038/30918