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English: Diagram to assist in proof of Prim's algorithm. If is a minimum spanning tree, and Y is the tree found by Prim's algorithm, we find e, the first edge added by the algorithm which is in but not in Y. Let V be the vertices added to the tree up to that point. Then we find a path in between the endpoints of e and find an edge f in that path with one endpoint in V. Then is also a minimum spanning tree, and is in this case equal to Y. In general, more steps may be needed.
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14 November 2013

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current07:03, 15 November 2013Thumbnail for version as of 07:03, 15 November 2013405 × 827 (31 KB)Dcoetzee{{Information |Description ={{en|1=Diagram to assist in proof of Prim's algorithm. If <math>Y_1</math> is a minimum spanning tree, and Y is the tree found by Prim's algorithm, we find ''e'', the first edge added by the algorithm which is in <math>Y_...

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