Timeline for Number of closed walks on an $n$-cube
Current License: CC BY-SA 3.0
3 events
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Jul 31, 2011 at 17:03 | comment | added | Derrick Stolee | That should be $r!/2^r$. | |
Jul 31, 2011 at 17:03 | comment | added | Derrick Stolee | If we assume the path moves in each dimension 0 or 2 times, you can select ${n \choose r/2}$ dimensions and then permute them $r^1/2^r$ ways. This is a lower bound on the number of walks and is likely the right asymptotics. | |
Jul 31, 2011 at 16:59 | history | answered | Derrick Stolee | CC BY-SA 3.0 |