pfvn: Pathfinder valued network and triangle inequality

In multiplex: Algebraic Tools for the Analysis of Multiple Social Networks

Pathfinder valued network and triangle inequality

Description

A function to establish the skeleton of a valued network with the pathfinder algorithm and triangle inequality

Usage

pfvn(x, r, q)

Arguments

x	network data, typically valued
r	a distance function parameter
q	parameter with the minimum distance between actors in the proximity matrix

Details

The Pathfinder structure is for undirected networks, whereas for directed network structures the triangle inequality principle is applied

Value

max	max value of the network with the Frobenius norm
r	parameter r
q	parameter q
Q	salient structure of x
Note	A note when triangle inequality is used

Author(s)

Antonio Rivero Ostoic

References

Schvaneveldt, R., Durso, F. and Dearholt, D., ‘Network structures in proximity data,’ in G. Bower, ed., The psychology of learning and motivation: Advances in research & theory, Vol. 24, Academic Press, pp. 249-284. 1989.

Batagelj, V., Doreian, P., Ferligoj, A. and Kejzar, N., Understanding Large Temporal Networks and Spatial Networks: Exploration, Pattern Searching, Visualization and Network Evolution, John Wiley & Sons. 2014.

See Also

multigraph,

Examples

# create valued network data
arr <- round( array(runif(18), c(3,3,2)), array(runif(18), c(3,3,2)) ) * 10L

# pathfinder valued network of 'arr'
pfvn(arr)

multiplex documentation built on Nov. 16, 2023, 5:08 p.m.