| Title: | Enumerating runs, valleys, and peaks in Catalan words |
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| Authors: | ID Baril, Jean-Luc (Author)
ID Harris, Pamela (Author)
ID Harry, Kimberly (Author)
ID McClinton, Matt (Author)
ID Ramírez, José L. (Author) |
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| Files: |  ADAM_Baril,Harris,Harry,McClinton,Ramirez_2025.pdf (442,69 KB)
MD5: ABB7886C044FB40214AE0FDB45F9B466
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (descents), l-valleys, valleys, symmetric valleys, l-peaks, peaks, and symmetric peaks. We also establish some bijections with restricted Dyck paths and ordered trees that transports some statistics. |
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| Keywords: | Catalan word, generating function, combinatorial statistic, Dyck path |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 19.03.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2025 |
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| Number of pages: | 23 str. |
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| Numbering: | Vol. 8, no. 2, [article no.] P2.07 |
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| PID: | 20.500.12556/RUP-22070  |
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| UDC: | 51 |
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| eISSN: | 2590-9770 |
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| DOI: | https://doi.org/10.26493/2590-9770.1794.fc5 |
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| Publication date in RUP: | 03.11.2025 |
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| Views: | 209 |
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| Downloads: | 1 |
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