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== Simpler end of proof ==
Proof can be made slightly simpler at the end. We are in case Y != Y_1, and Y_1 is minimal spanning tree. There two possibilities, Y is also minimal spanning tree (other one with the same sum of the weight), which is OK, or Y have different sum of weight. If it have different number, then if must of course have more than sum for Y_1. At the ending wee see that Y_2, constructed from Y by removing f and adding e, have sum of weights smaller (or equal) than Y itself, and is again spanning tree. If it is equal then it s OK for us. If it is greater, this leads to contradiction (Y_2 cannot have smaller sum of weight from Y_1, which already have smallest possible one). Therfore Y != Y_1, and sum of Y < sum of Y_1, is impossible. End of proof. --[[Special:Contributions/91.213.255.7|91.213.255.7]] ([[User talk:91.213.255.7|talk]]) 04:28, 7 January 2011 (UTC)
== All black image: Maze Generation ==
The "Maze Generation" image used in this article renders all black and doesn't change. I've viewed this article with Chrome, Firefox and IE under Windows XP and they're all the same. When I go [http://upload.wikimedia.org/wikipedia/commons/d/da/Mazegeneration.gif directly to the GIF], I can see that it's actually an animated GIF demonstrating the generation of a maze. Seeing how this image is only indirectly related to the topic (even if it were working properly), I think this image should be removed. <span style="white-space:nowrap;"><b>[[User:Justin W Smith|Justin W Smith]]</b> <i><sup>[[User talk:Justin W Smith|talk]]</sup>/<sub>[[Special:Contributions/Justin W Smith|stalk]]</sub></i></span> 22:00, 17 January 2011 (UTC)
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