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12/14/2010 04:30:49 PM · #4451 |
| Thanks Art, and I would like to thank the Academy for this wonderful, repaired trophy, and all the DPC members who find this thread beneath them. Lets Party! |
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12/14/2010 08:04:05 PM · #4452 |
I'm back.
Since Kuratowski allows for edge contraction, it's easy to see that removing the edge disjoint "spokes" of the Petersen graph, and merging the vertices to which they are incident, produces K5. Therefore K5 is a minor of the Petersen graph, and the Petersen graph is not planar.
According to Chartrand, a subdivision of K(3,3) is a subgraph of the Petersen graph. I wonder now if K(3,3) is a minor of the Petersen graph. I'm also curious to know if there are any interesting results between the theorems of Wagner and Kuratowski. |
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12/15/2010 12:31:03 AM · #4453 |
| *grabs some of Petersen's C4 and inserts it where the sun is shining when he's bent over* KA-BOOM! And that was the very last we EVER heard of him or his nerdy experiments. |
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12/15/2010 05:17:04 AM · #4454 |
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12/15/2010 05:54:27 AM · #4455 |
| As punishment they can go and live out their days in the 'Last loses' thread. |
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12/15/2010 06:03:57 AM · #4456 |
| And so it shall be amended. |
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12/15/2010 07:53:22 AM · #4457 |
Let it also hereby be known that Art Roflmao lost his Knighthood after excessive village burning. Trollman was knighted instead and awarded the prize.
ETA: I win!
Message edited by author 2010-12-15 07:53:44. |
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12/15/2010 08:23:11 AM · #4458 |
| so this thread is still alive |
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12/15/2010 08:39:00 AM · #4459 |
| ahhh yep it's still alive...and numb nuts that we are .... are very determined to win... |
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12/15/2010 02:20:59 PM · #4460 |
I'm happy to be described as a numb nut, but I am more commonly known as Wingnut ...still determined to win though :)
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12/15/2010 03:05:59 PM · #4461 |
| It's not whether you win or lose, it's that I win. and I do. Yes I do. Yes he does. Yes I do. Fa la la la la, la la la la. |
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12/15/2010 03:26:10 PM · #4462 |
You would win but then everyone would want to congratulate you...which means you don't win anymore. Its tough having millions of adoring fans isn't it? :)
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12/15/2010 04:08:22 PM · #4463 |
| So what you're saying basically is that I win. Excellent! |
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12/15/2010 04:58:31 PM · #4464 |
| he was talking to ME thank you... |
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12/15/2010 07:12:31 PM · #4465 |
I sense some dissent in the group.
Anyway, I was able to show today that there exists a subgraph of the Petersen graph that is a proper (nontrivial) subdivision of K(3,3). It's actually much simpler to show that the Petersen graph is nonplanar using Wagner, but this result appeals to Kuratowski.
It will be much easier to show using a diagram. I will prepare a graphic and post it later. Unlesss someone has one of their own to share. |
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12/15/2010 07:15:14 PM · #4466 |
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12/15/2010 07:37:44 PM · #4467 |
| *assembling an angry mob of math haters* |
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12/15/2010 07:46:47 PM · #4468 |
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12/15/2010 07:50:23 PM · #4469 |
| I'm in like gin! Let's get him. |
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12/15/2010 07:57:01 PM · #4470 |
*stabs bvy with a protractor*
edit: I mean a compass. See how long I have been away from math??
Message edited by author 2010-12-15 19:58:17. |
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12/15/2010 08:12:07 PM · #4471 |
Et tu, Arte?
Message edited by author 2010-12-15 20:12:36. |
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12/15/2010 08:20:44 PM · #4472 |
| 2x2 is 4....2x3 is 6....let me know when I catch up... |
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12/15/2010 08:29:48 PM · #4473 |
| *hits bvy in the head with a 2x4* calculate that! |
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12/15/2010 10:30:15 PM · #4474 |
| ahhhh man...your talking high calculations now... |
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12/15/2010 10:37:23 PM · #4475 |
| *finishes bvy off with a pi to the face* |
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