The Generalized Interval Polynomial of a Poset
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915626069524480 |
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| author | George, Ian Yeats, Karen |
| author_facet | George, Ian Yeats, Karen |
| contents | For any finite poset we define a generating polynomial counting upsets, downsets, and their intersection. We investigate the behaviour of this polynomial with respect to poset operations, show that it distinguishes series-parallel posets, and comment on connections to the causal set approach to quantum gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14924 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Generalized Interval Polynomial of a Poset George, Ian Yeats, Karen Combinatorics General Relativity and Quantum Cosmology For any finite poset we define a generating polynomial counting upsets, downsets, and their intersection. We investigate the behaviour of this polynomial with respect to poset operations, show that it distinguishes series-parallel posets, and comment on connections to the causal set approach to quantum gravity. |
| title | The Generalized Interval Polynomial of a Poset |
| topic | Combinatorics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.14924 |