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Lev Reyzin
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Is there a known formula for the number of closed walks of length (exactly) $r$ on the $n$-cube? If not, what are the best known upper and lower bounds?

[Edit] Note: the walk can repeat vertices.

Is there a known formula for the number of closed walks of length (exactly) $r$ on the $n$-cube? If not, what are the best known upper and lower bounds?

Is there a known formula for the number of closed walks of length (exactly) $r$ on the $n$-cube? If not, what are the best known upper and lower bounds?

[Edit] Note: the walk can repeat vertices.

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Lev Reyzin
  • 175
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  • 6

Is there a known formula for the number of closed walks of length (exactly) $r$ on the $n$-cube? If not, what are therethe best known upper and lower bounds?

Is there a known formula for the number of closed walks of length (exactly) $r$ on the $n$-cube? If not, are there known upper and lower bounds?

Is there a known formula for the number of closed walks of length (exactly) $r$ on the $n$-cube? If not, what are the best known upper and lower bounds?

Source Link
Lev Reyzin
  • 175
  • 1
  • 6

Number of closed walks on an $n$-cube

Is there a known formula for the number of closed walks of length (exactly) $r$ on the $n$-cube? If not, are there known upper and lower bounds?