pi.rels: pi-Relations

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

\pi-Relations

Description

A function to establish the \pi-relations of a partially ordered structure comming from a ‘Pacnet’ class

Usage

pi.rels(x, po.incl, vc, po)

Arguments

x	an object of a ‘Pacnet’ class
po.incl	(optional and logical) should the partial order be included in the outcome?
vc	(optional) vector of the induced inclusions to be computed
po	(optional) the partial order structure

Details

This function process the outcome of the Pacnet report by adding induced inclusions to partial order, the minimal element of the lattice of congruence relations. Such type of structure serves for the decomposition of a partially ordered semigroup structure.

Value

An object of the ‘Pi.rels’ class

pi	the \pi-relations, eventually with the partial order
mca	the meet-complements of atoms

Author(s)

Antonio Rivero Ostoic

References

Pattison, Philippa E. Algebraic Models for Social Networks. Cambridge University Press. 1993.

See Also

pacnet, decomp, semigroup

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