An exceptional equinumerosity of lattice paths and Young tableaux
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arXiv
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913872902881280 |
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| author | Ayres, Liam Bialo, Evan Cook, Aidan Chen, Alwin Froese, Matteus Liu, Erica Yekta, Maryam Mohammadi Pechenik, Oliver Wong, Benjamin |
| author_facet | Ayres, Liam Bialo, Evan Cook, Aidan Chen, Alwin Froese, Matteus Liu, Erica Yekta, Maryam Mohammadi Pechenik, Oliver Wong, Benjamin |
| contents | We consider families $\mathcal{P}_n$ of plane lattice paths enumerated by Guy, Krattenthaler, and Sagan (1992). We show by explicit bijection that these families are equinumerous with the set $\mathrm{SYT}(n+2,2,1^n)$ of standard Young tableaux. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03116 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An exceptional equinumerosity of lattice paths and Young tableaux Ayres, Liam Bialo, Evan Cook, Aidan Chen, Alwin Froese, Matteus Liu, Erica Yekta, Maryam Mohammadi Pechenik, Oliver Wong, Benjamin Combinatorics 05A19, 05A15 We consider families $\mathcal{P}_n$ of plane lattice paths enumerated by Guy, Krattenthaler, and Sagan (1992). We show by explicit bijection that these families are equinumerous with the set $\mathrm{SYT}(n+2,2,1^n)$ of standard Young tableaux. |
| title | An exceptional equinumerosity of lattice paths and Young tableaux |
| topic | Combinatorics 05A19, 05A15 |
| url | https://arxiv.org/abs/2506.03116 |