Loopless generation of up–down permutations
✍ Scribed by James F. Korsh
- Book ID
- 108315594
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 247 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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For each sequence q = {qi} = ±1, i = 1 ..... n -1 let Nq = the number of permutations tr of 1, 2 ..... n with up-down sequence sgn(tri+x-tri) = th, i = 1 ..... n -1. Clearly Y.q (Nqln!) = 1 but what is the probability p, = Y.q (NJn!) 2 that two random permutations have the same up-down sequence? We