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  1. Home > Articles & Issues >
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  3. Long increasing subs ...
Article

Long increasing subsequences and non-algebraicity

Miklos Bona
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Submitted on
November 11, 2023
Accepted on
June 18, 2024
Published on
August 21, 2024
Last modified on
March 27, 2025
Special issue 26
vol. 26:1, Permutation Patterns 2023
Special issues
DOI
10.46298/dmtcs.12539
License
Attribution 4.0 International (CC BY 4.0)
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625
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491
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Long increasing subsequences and non-algebraicity

Miklos Bona
Abstract
We use a recent result of Alin Bostan to prove that the generating functions of two infinite sequences of permutation classes are not algebraic. Comment: 9 pages
Keywords
  • Mathematics - Combinatorics
  • 05A05
Mathematics Subject Classification 2020
  • 05A05 - Permutations, words, matrices
  • 05A15 - Exact enumeration problems, generating functions
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