Conjectures for cutting pizza with Coxeter arrangements
Combinatorics
2024-10-18 v1
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.
Cite
@article{arxiv.2410.13593,
title = {Conjectures for cutting pizza with Coxeter arrangements},
author = {Richard Ehrenborg},
journal= {arXiv preprint arXiv:2410.13593},
year = {2024}
}
Comments
12 pages, 1 figure and 2 tables. To appear in Experimental Mathematics