File:Prim's algorithm proof.svg
Size of this PNG preview of this SVG file: 293 × 598 pixels. Other resolutions: 117 × 240 pixels | 235 × 480 pixels | 376 × 768 pixels | 501 × 1,024 pixels | 1,003 × 2,048 pixels | 405 × 827 pixels.
Original file (SVG file, nominally 405 × 827 pixels, file size: 31 KB)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
| Description |
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. |
| Date | |
| Source | Own work |
| Author | User:Dcoetzee |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:03, 15 November 2013 | | 405 × 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_... |
File usage
The following page uses this file:
Global file usage
The following other wikis use this file:
- Usage on ar.wikipedia.org
