edgeT: Edge Table Generator

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

Edge Table Generator

Description

Function to produce the Edge Table generator of multiple relations.

Usage

edgeT(x)

Arguments

x	an array; usually with three dimensions of stacked matrices where the multiple relations are placed.

Details

The Edge Table is the complete right multiplication table of the semigroup having its elements for each of its generators.

Value

An object of the ‘EdgeTable’ class

gens	the generator relations
ET	the Edge Table

Author(s)

Antonio Rivero Ostoic

References

Cannon, J.J. “Computing the ideal structure of finite semigroup,” Numerische Mathematik, 18, 254-266. 1971.

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

See Also

wordT, semigroup.

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, 1 ) )

# obtain the edge table
edgeT(arr)

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