The algebra of binary search trees
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Publication:557924
DOI10.1016/j.tcs.2005.01.012zbMath1072.05052arXivmath/0401089OpenAlexW1966547931MaRDI QIDQ557924
Jean-Christophe Novelli, Florent Hivert, Jean-Yves Thibon
Publication date: 30 June 2005
Published in: Theoretical Computer Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0401089
Symmetric functions and generalizations (05E05) Graph theory (including graph drawing) in computer science (68R10) Data structures (68P05)
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Uses Software
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- A plactic algebra for semisimple Lie algebras
- q-hook length formulas for forests
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- An analogue of the plactic monoid for binary search trees
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- Duality between quasi-symmetric functions and the Solomon descent algebra
- On the hypoplactic monoid
- Permutations, matrices, and generalized Young tableaux
- Longest Increasing and Decreasing Subsequences
- Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
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