This paper proves four generating function conjectures for invariants of arbor posets and polytopes, supplying closed forms for the Zeta polynomial, M-triangle, Ehrhart polynomial, and volume Laplace transform.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Preorder polytopes generalize arbor polytopes as lattice polytopes with a proven duality between Ehrhart polynomials and zeta polynomials of their lattice point posets, plus combinatorial volume interpretations and formulas for Ehrhart and h*-polynomials.
citing papers explorer
-
Proofs of four generating function conjectures for arbor polytopes
This paper proves four generating function conjectures for invariants of arbor posets and polytopes, supplying closed forms for the Zeta polynomial, M-triangle, Ehrhart polynomial, and volume Laplace transform.
-
Polytopes and posets associated to preorders
Preorder polytopes generalize arbor polytopes as lattice polytopes with a proven duality between Ehrhart polynomials and zeta polynomials of their lattice point posets, plus combinatorial volume interpretations and formulas for Ehrhart and h*-polynomials.