# edgeT: Edge Table Generator In multiplex: Algebraic Tools for the Analysis of Multiple Social Networks

## Description

The Edge Table generator of multiple relations.

## Usage

 `1` ```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.

`wordT`, `semigroup`.

## Examples

 ```1 2 3 4 5 6``` ```## 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.