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04/24/2010 08:05:59 PM · #76
Originally posted by bvy:

I will leave it as an exercise to the reader to prove the converse. If no takers, I'll follow up later.


Last chance...
04/24/2010 08:06:45 PM · #77
I forgot the question...
04/24/2010 08:09:47 PM · #78
Originally posted by Art Roflmao:

I forgot the question...


Your mission, should you decide to accept it, is to prove that if a tournament contains no cycles, then it must be transitive.

Remember, a tournament is just a complete digraph. So for any two vertices (or nodes) u and v, exactly one of (u, v) or (v, u) is part of the set of directed edges.

Stated casually, of course.
04/24/2010 10:39:00 PM · #79
My cats breath smells like cat food........
04/24/2010 11:28:54 PM · #80
but does it smell better than its other end?
04/25/2010 01:02:06 AM · #81
all cat food smells like that ...in the end
04/25/2010 01:41:41 AM · #82
depends on the end.
04/25/2010 03:50:17 AM · #83
They told me there would be no math in this thread. :/
04/25/2010 06:44:10 AM · #84
Epic Fail!

BTW, 21.gif JimiRose, you are *so* on my list for bringing up The Game
04/25/2010 09:36:22 AM · #85
I'm usually a thread killer...
04/25/2010 11:12:09 AM · #86
I know what the SC did last summer..
04/25/2010 11:39:12 AM · #87
Originally posted by NikonJeb:

Epic Fail!

BTW, 21.gif JimiRose, you are *so* on my list for bringing up The Game


I was doing juuuust fine.

you just HAD to mention the game again, didn't you?!!!!????!?!?!?

Now I have to start all over again......<sigh>

04/25/2010 11:43:21 AM · #88
tiny_bump.gif
04/25/2010 12:00:00 PM · #89
Say, does anybody know where my furniture polish is?
04/25/2010 12:09:18 PM · #90
Check the last place you left it.
04/25/2010 12:09:52 PM · #91
...wait - I found it! Thread can be locked now...
04/25/2010 12:20:01 PM · #92
not just yet
04/25/2010 12:21:51 PM · #93
DOn't lock it yet. I still have to prove the converse...
04/25/2010 12:46:15 PM · #94
Which is better, Canon or Nikon?
04/25/2010 01:02:03 PM · #95
Neither. Frogs take better pictures.
04/25/2010 04:44:44 PM · #96
Originally posted by jbsmithana:

Which is better, Canon or Nikon?


dont get everyone started! ahahaaa
04/25/2010 04:46:05 PM · #97
Originally posted by jbsmithana:

Which is better, Canon or Nikon?


Ford!...no wait, GM?
04/25/2010 05:14:49 PM · #98
....? .......oh - sorry, wrong number.
04/25/2010 05:16:49 PM · #99
Originally posted by bvy:

DOn't lock it yet. I still have to prove the converse...


Before I begin, I'm proposing that we advance the terminology and notation a little bit. Instead of referring to u > v as a directed edge of T, I would like to refer to (u, v) as an arc of T.

Any objections?
04/25/2010 05:17:51 PM · #100
i object. to everything.
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