Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid
Year: 2026
Type: preprint
Abstract: The cave polynomial of a polymatroid was recently introduced and used to study the syzygies of polymatroidal ideals. We study the combinatorial relationships between three formulas for the cave polynomial. As an application, we interpret the Snapper polynomial in terms of these three formulas.
Source: arXiv (Cornell University)
Author: Shapiro, Anna
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7123784938
Cites:
Cited by:
Related to: