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Operations Research Models and Methods
 
Models Section
Subunit
Minimal Spanning Tree
- Prim's Algorithm to Find the Minimal Spanning Tree (Flash)

Find the set of edges connecting all nodes such that the sum of the edge length is minimized

GREEDY ALGORITHM FOR MST

Initial

Select any node arbitrarily and let this node alone form the set S1. Put all other nodes in the set S2.

Selection

From all the edges with one end in the set S1 and the other end in the set S2, select the one with the smallest length. Let this edge be (i, j).

Add this edge to the spanning tree. Add node j to the set S1 and delete it from the set S2.

Finish

If the set S1 includes all the nodes, stop with the minimum spanning tree. Otherwise repeat the Selection step.

Click on the nodes in the order that they should be added to the tree.

 

  
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tree roots

Operations Research Models and Methods
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by Paul A. Jensen
Copyright 2004 - All rights reserved