multiplex (version 1.9.3)

cph: Cumulated Person Hierarchy

Description

A function to calculate the Cumulated Person Hierarchy in networks of multiple relations

Usage

cph(W, labels = NULL)

Arguments

W

an object of the `Rel.Box' class.

labels

(optional) the labels of the relational system

Value

An array representing the cumulated person hierarchy.

Details

The cumulated person hierarchy is used to determine the partial structural equivalence among the actors in a multiple network. Two nodes are considered as partial structural equivalent iff they have identical role sets.

The outcome of this function depends on the characteristics of the Relation-Box.

References

Breiger, R.L. and P.E. Pattison, `Cumulated social roles: The duality of persons and their algebras,' Social Networks, 8, 215-256. 1986.

Mandel, M.J. `Roles and networks: A local approach'. B.A. Honours thesis, Harvard University. 1978.

See Also

rbox, semigroup, diagram

Examples

## Create the data: two binary relations among three elements
arr <- round( replace( array(runif(18), c(3,3,2)), array(runif(18),
c(3,3,2))>.9, 3 ) )

## Make the Relation Box
rarr <- rbox(arr)

## Calculate the cumulated person hierarchy
cph(rarr)