Eulerian pairs on Fibonacci words |
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| Authors: | Teresa X.S. Li Charles B. Mei Melissa Y.F. Miao |
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| Affiliation: | 1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, PR China;2. Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China |
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| Abstract: | Recently, Sagan and Savage introduced the notion of Eulerian pairs. In this note, we find Eulerian pairs on Fibonacci words based on Foata’s first transformation or Han’s bijection and a map in the spirit of a bijection of Steingrímsson. |
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| Keywords: | Fibonacci word Eulerian pair Excedance number Descent number |
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