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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We determine the exact and asymptotic formulas for the average length of the longest increasing subsequences for such permutation classes.
📌 3 Key Takeaways
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Objective & Hypothesis:We study the longest increasing subsequences in random involutions that avoid the patterns of length three under the uniform probability distribution.
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Key Findings & Data:We study the longest increasing subsequences in random involutions that avoid the patterns of length three under the uniform probability distribution.
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Conclusion & Impact:We determine the exact and asymptotic formulas for the average length of the longest increasing subsequences for such permutation classes.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Pattern-avoidance · involutions · longest increasing subsequences
Abstract
We study the longest increasing subsequences in random involutions that avoid the patterns of length three under the uniform probability distribution. We determine the exact and asymptotic formulas for the average length of the longest increasing subsequences for such permutation classes.
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Cite This Article
MANSOUR, T., YILDIRIM, G. (2019). Longest increasing subsequences in involutions avoiding patterns of length three. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 5, 2183–2192. https://ajindex.com/articles/185669