10.46298/dmtcs.496
https://dmtcs.episciences.org/496
Bóna, Miklós
Miklós
Bóna
The absence of a pattern and the occurrences of another
Following a question of J. Cooper, we study the expected number of occurrences of a given permutation pattern q in permutations that avoid another given pattern r. In some cases, we find the pattern that occurs least often, (resp. most often) in all r-avoiding permutations. We also prove a few exact enumeration formulae, some of which are surprising.
episciences.org
Permutation pattern
generating functions
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
2015-06-09
2010-01-01
2010-01-01
en
journal article
https://hal.science/hal-00990453v1
1365-8050
https://dmtcs.episciences.org/496/pdf
VoR
application/pdf
Discrete Mathematics & Theoretical Computer Science
Vol. 12 no. 2
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