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Minimum Spanning Trees

Given a connected, undirected graph G = (V, E) with edge weights w(u,v) for each edge (u,v) $\in$ E,
the minimum spanning tree (MST) T = (V, E') of G,
\(E' \;\subseteq\; E\), is an acyclic, connected graph such that w(T) = \(\sum_{(u,v) \in E'} w(u,v)\) is minimized.

Example



\psfig{figure=figures/f17-1.ps}

Applications

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Circuit wiring: connecting common pins with minimal wire
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Networking

Minimum Spanning Tree

Minimum Spanning Tree Game


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