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Apr 9, 2012 at 12:16 history edited Jesse W. Collins CC BY-SA 3.0
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Apr 5, 2012 at 19:04 history edited Jesse W. Collins CC BY-SA 3.0
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Apr 5, 2012 at 17:35 history edited Jesse W. Collins CC BY-SA 3.0
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Apr 5, 2012 at 16:52 history edited Jesse W. Collins CC BY-SA 3.0
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Apr 5, 2012 at 15:13 history edited Jesse W. Collins CC BY-SA 3.0
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Apr 2, 2012 at 0:08 vote accept Jesse W. Collins
Apr 2, 2012 at 0:07 answer added Jesse W. Collins timeline score: 4
Apr 1, 2012 at 23:48 history edited Jesse W. Collins CC BY-SA 3.0
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Jan 25, 2012 at 11:56 comment added Jesse W. Collins "THE DINNER TABLE PROBLEM" by Bengt Aspvall and Frank Liang looks at the cyclic permutation case. Robbins' work considered a linear permutation. These two sources seem quite useful; I'll edit the question based on the terms used therein.
Jan 24, 2012 at 19:41 history edited Jesse W. Collins
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Jan 24, 2012 at 19:35 comment added Gerhard Paseman You might add a reference-request tag, as that part of the question makes it (in my view) quite suitable for MathOverflow. Gerhard "Ask Me About System Design" Paseman, 2012.01.24
Jan 24, 2012 at 19:29 comment added Jesse W. Collins I was going to delete this post and move the question to Mathematics Stack Exchange, but as long as I continue to receive helpful comments I will leave it here.
Jan 24, 2012 at 19:28 comment added Jesse W. Collins Thanks Richard, the reference there by D. P. Robbins, "The probability that neighbors remain neighbors after random rearrangements. Amer. Math. Monthly 87 (1980), 122-124." looks particularly helpful.
Jan 24, 2012 at 18:11 comment added Gerhard Paseman Let me piggyback on this. mathoverflow.net/questions/31364/… has a couple of Shellsort analysis references which may provide you with good search terms. Further, if you find more on inversion density, I'd appreciate a comment to that effect. Gerhard "Ask Me About System Design" Paseman, 2012.01.24
Jan 24, 2012 at 16:42 history undeleted Jesse W. Collins
Jan 24, 2012 at 16:34 history deleted Jesse W. Collins
Jan 24, 2012 at 14:42 comment added Richard Stanley For the case of zero adjacent pairs, see OEIS A002464. Perhaps some of the references there will treat your more general question.
Jan 24, 2012 at 12:42 history asked Jesse W. Collins CC BY-SA 3.0