Abstract:We show the entries of the toric g-vector of any dual simplicial polytope is a nonnegative integer linear combination of its gamma-vector entries. We give combinatorial interpretations of the toric g-vector of three classical polytopes: the associahedron, the cyclohedron and the permutahedron. Each is expressed in terms of 123-avoidance on a set of structures, namely, parking functions, functions and parking trees. Using our notion of parking trees, we extend our combinatorial model to all chordal nestohedra. As a corollary we obtain combinatorial proofs of nonnegativity of the toric g-vector for all of these polytopes.
From: Richard Ehrenborg [view email]
[v1]
Thu, 6 Nov 2025 21:11:41 UTC (38 KB)
[v2]
Sat, 14 Mar 2026 15:41:34 UTC (41 KB)
[v3]
Fri, 7 Aug 2026 16:20:47 UTC (42 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。