Maximum spanning forest
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Input
- An undirected graph [math]\displaystyle{ G = (V,E) }[/math], not necessarily connected.
- An edge length [math]\displaystyle{ l(e) \in \mathbb{R} }[/math] for each edge [math]\displaystyle{ e \in E }[/math].
Output
An undirected forest [math]\displaystyle{ F= (V,E_F) }[/math] such that [math]\displaystyle{ E_F \subseteq E }[/math].
Objective
Maximize: [math]\displaystyle{ \sum{}{}_{e \in E_F}l(e) }[/math].
Complexity
Polynomial.