Conjectures for cutting pizza with Coxeter arrangements
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917806584365056 |
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| author | Ehrenborg, Richard |
| author_facet | Ehrenborg, Richard |
| contents | We are interested in conjecturing the sign of the pizza quantity P(H,B(a,R)) for the irreducible Coxeter arrangements H of type A_n, where n=2,3 bmod 4, and type D_n, where n is odd. Our approach is to express the pizza quantity in terms of the pizza quantity of subarrangements known as 2-structures, and we obtain the first non-zero term in the multivariate Taylor expansion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13593 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conjectures for cutting pizza with Coxeter arrangements Ehrenborg, Richard Combinatorics Primary 20F55, 51F15, Secondary 51M20, 51M25 We are interested in conjecturing the sign of the pizza quantity P(H,B(a,R)) for the irreducible Coxeter arrangements H of type A_n, where n=2,3 bmod 4, and type D_n, where n is odd. Our approach is to express the pizza quantity in terms of the pizza quantity of subarrangements known as 2-structures, and we obtain the first non-zero term in the multivariate Taylor expansion. |
| title | Conjectures for cutting pizza with Coxeter arrangements |
| topic | Combinatorics Primary 20F55, 51F15, Secondary 51M20, 51M25 |
| url | https://arxiv.org/abs/2410.13593 |