edgeT: Edge Table Generator

Description Usage Arguments Details Value Author(s) References See Also Examples

Description

The Edge Table generator of multiple relations.

Usage

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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

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## Create the data: 2 binary relations among 3 elements
arr <- round( replace( array(runif(18), c(3,3,2)), array(runif(18),
       c(3,3,2))>.5, 1 ) )

## get the edge table
edgeT(arr)

Example output

$gens
, , 1

     [,1] [,2] [,3]
[1,]    0    1    1
[2,]    0    0    1
[3,]    1    1    1

, , 2

     [,1] [,2] [,3]
[1,]    1    1    1
[2,]    1    0    1
[3,]    1    1    1


$ET
  1 2
1 3 3
2 3 3
3 3 3

attr(,"class")
[1] "EdgeTable"

multiplex documentation built on March 26, 2020, 5:45 p.m.