# mstOptimistic

From cooptrees v1.0
by Manuel Fontenla

##### Optimistic game of a minimum cost spanning tree problem

Given a graph with at least one minimum cost spanning tree,
the `mstOptimistic`

function builds the optimistic
game associated with it.

##### Usage

`mstOptimistic(nodes, arcs)`

##### 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.

##### Value

`mstOptimistic`

returns a vector with the
characteristic function of the optimistic game.
##### See Also

The more general function mstGames.

##### Examples

```
# Graph
nodes <- 1:4
arcs <- matrix(c(1,2,6, 1,3,10, 1,4,6, 2,3,4, 2,4,6, 3,4,4),
byrow = TRUE, ncol = 3)
# Optimistic game
mstOptimistic(nodes, arcs)
```

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

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