# maRules

From cooptrees v1.0
by Manuel Fontenla

##### Allocation rules for minimum cost arborescence problems

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

function divides the cost of the
arborescence among the agents according to "Bird" and "ERO"
rules.

##### Usage

`maRules(nodes, arcs, rule, 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.
- rule
- denotes the chosen allocation rule: "Bird" or "ERO".
- show.data
- logical value indicating if the function
displays the console output (
`TRUE`

) or not (`FALSE`

). By default its value is`TRUE`

.

##### Value

`maRules`

returns a matrix with the agents and their
costs. It also prints the result in console.
##### Examples

```
# Graph
nodes <- 1:4
arcs <- matrix(c(1,2,7, 1,3,6, 1,4,4, 2,3,8, 2,4,6, 3,2,6,
3,4,5, 4,2,5, 4,3,7), ncol = 3, byrow = TRUE)
# Allocation rules
maRules(nodes, arcs, rule = "Bird")
maRules(nodes, arcs, rule = "ERO")
```

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

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