cph: Cumulated Person Hierarchy

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

Cumulated Person Hierarchy

Description

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

Usage

cph(W, lbs)

Arguments

W	An object of the “Rel.Box” class.
lbs	(optional) Labels of the relational system.

Details

Uses the cumulated person hierarchy to determine partial structural equivalence among actors in a multiple network. Two nodes are considered partially structurally equivalent only if they have identical role sets. Output is determined by the properties of the Relation-Box product of function rbox, and in case that the length of the labels differs from the order of the relational system, then labels will be ignored.

Value

An object of “Partial.Order” class with an array representing the cumulated person hierarchy.

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 a dataset
data("incubA")

# construct the Relation Box of the dataset image matrices and
# compute its cumulated person hierarchy
incubA |> getElement("IM") |> 
  rbox() |> cph()

multiplex documentation built on July 30, 2026, 5:13 p.m.