hierar: Person and Relation Hierarchy

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

Person and Relation Hierarchy

Description

Function to establish either the Person or the Relation Hierarchy in a multiple network

Usage

hierar(W, x, type = c("person", "relation"))

Arguments

W	an object of ‘Rel.Box’
x	(integer or character) actor of reference, either by its location in the adjacency matrix or by the label.
type	whether the hierarchy with respect to network “x” is person for persons hierarchy relation for relations hierarchy

Details

The person hierarchy refers to the inclusion relations among the actors, whereas the relation hierarchy refers to the inclusion relations among the ties, and both are from the perspective of a chosen actor of reference in the given network.

Value

An array that represents the partial order structure of the respective hierarchy.

Note

The cumulative person hierarchy is obtained through the cph function.

Author(s)

Antonio Rivero Ostoic

References

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

See Also

rbox, cph, partial.order, 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) ) > .5, 3 ) )

# compute person hierarchy of a random actor from relation box
arr |> rbox(k=1) |> 
  hierar(ceiling(runif(1, min=0, max=dim(arr)[2])), type="person")

multiplex documentation built on Sept. 30, 2024, 5:07 p.m.