Mathematics > Combinatorics
arXiv:2601.07697 (math)
[Submitted on 12 Jan 2026 (v1), last revised 20 Jul 2026 (this version, v2)]
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.
Submission history
From: Anna Shapiro [view email]
[v1]
Mon, 12 Jan 2026 16:30:28 UTC (13 KB)
[v2]
Mon, 20 Jul 2026 21:27:44 UTC (14 KB)
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