multiplex (version 3.7)

edgeT: Edge Table Generator

Description

Function to produce the Edge Table generator of multiple relations.

Usage

edgeT(x)

Value

An object of the ‘EdgeTable’ class

gens

the generator relations

ET

the Edge Table

Arguments

x

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

Author

Antonio Rivero Ostoic

Details

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

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)