A pattern theorem for random sorting networks
A sorting network is a shortest path from 12⋯n to n⋯21 in the Cayley graph of the symmetric group S[subscript n] generated by nearest-neighbor swaps. A pattern is a sequence of swaps that forms an initial segment of some sorting network. We prove that in a uniformly random n-element sorting network,...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematical Statistics,
2014-09-15T14:57:23Z.
|
| Subjects: | |
| Online Access: | Get fulltext |