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arXiv · 2410.13593

Conjectures for cutting pizza with Coxeter arrangements

Richard Ehrenborg
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Abstract

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.

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Richard Ehrenborg. 2024-10-17. Conjectures for cutting pizza with Coxeter arrangements. https://doi.org/10.1080/10586458.2024.2379799

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