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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We determine the exact and asymptotic formulas for the average length of the longest increasing subsequences for such permutation classes.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:We determine the exact and asymptotic formulas for the average length of the longest increasing subsequences for such permutation classes.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
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