multiplex (version 2.3)

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 object of `Partial.Order' class with 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)