multiplex (version 3.7)

cph: Cumulated Person Hierarchy

Description

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

Usage

cph(W, lbs)

Value

An object of ‘Partial.Order’ class with an array representing the cumulated person hierarchy.

Arguments

W

an object of the ‘Rel.Box’ class.

lbs

(optional) the labels of the relational system

Author

Antonio Rivero Ostoic

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

# load the data
data("incubA")

# make the Relation Box of the image matrices and
# compute its cumulated person hierarchy
rbox(incubA$IM) |> 
  cph()