# maCooperative

From cooptrees v1.0
by Manuel Fontenla

##### Cooperation in minimum cost arborescence problems

Given a graph with at least one minimum cost arborescence,
the `maCooperative`

function computes the cooperative
and "Bird" and "ERO" rules.

##### Usage

`maCooperative(nodes, arcs, show.data = TRUE)`

##### Arguments

- nodes
- vector containing the nodes of the graph, identified by a number that goes from $1$ to the order of the graph.
- arcs
- matrix with the list of arcs of the graph. Each row represents one arc. The first two columns contain the two endpoints of each arc and the third column contains their weights.
- show.data
- logical value indicating if the function
displays the console output (
`TRUE`

) or not (`FALSE`

). By default its value is`TRUE`

.

##### Value

`maCooperative`

returns and prints a list with the
cooperative games and allocation rules of a minimum cost
arborescence problem.
##### Examples

```
# Graph
nodes <- 1:4
arcs <- matrix(c(1,2,2, 1,3,3, 1,4,4, 2,3,3, 2,4,4, 3,2,3,
3,4,1, 4,2,1, 4,3,2), ncol = 3, byrow = TRUE)
# Cooperation in minimum cost arborescence problems
maCooperative(nodes, arcs)
```

*Documentation reproduced from package cooptrees, version 1.0, License: GPL-3*

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