Revisiting The Rédei-Berge Symmetric Functions via Matrix Algebra
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917038068334592 |
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| author | Irving, John Omar, Mohamed |
| author_facet | Irving, John Omar, Mohamed |
| contents | We revisit the Rédei-Berge symmetric function $\mathcal{U}_D$ for digraphs $D$, a specialization of Chow's path-cycle symmetric function. Through the lens of matrix algebra, we consolidate and expand on the work of Chow, Grinberg and Stanley, and Lass concerning the resolution of $\mathcal{U}_D$ in the power sum and Schur bases. Along the way we also revisit various results on Hamiltonian paths in digraphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10572 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Revisiting The Rédei-Berge Symmetric Functions via Matrix Algebra Irving, John Omar, Mohamed Combinatorics We revisit the Rédei-Berge symmetric function $\mathcal{U}_D$ for digraphs $D$, a specialization of Chow's path-cycle symmetric function. Through the lens of matrix algebra, we consolidate and expand on the work of Chow, Grinberg and Stanley, and Lass concerning the resolution of $\mathcal{U}_D$ in the power sum and Schur bases. Along the way we also revisit various results on Hamiltonian paths in digraphs. |
| title | Revisiting The Rédei-Berge Symmetric Functions via Matrix Algebra |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2412.10572 |