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Permutations all of whose patterns of a given length are distinct

โœ Scribed by Hegarty, Peter


Book ID
121267229
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
220 KB
Volume
120
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Permutations Restricted by Two Distinct
โœ Aaron Robertson ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

Theorem 4.3. For ฮฑ ฮฒ โˆˆ 132 213 213 132 231 312 312, 231 we have s n ฮฑ ฮฒ = n2 n-5 for n โ‰ฅ 4 and s 3 ฮฑ ฮฒ = 1.

On the Number of Permutations Avoiding a
โœ Noga Alon; Ehud Friedgut ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

Let \_ # S k and { # S n be permutations. We say { contains \_ if there exist Stanley and Wilf conjectured that for any \_ # S k there exists a constant c=c(\_) such that F(n, \_) c n for all n. Here we prove the following weaker statement: For every fixed \_ # S k , F(n, \_) c n#\* (n) , where c=c