Examples and counterexamples in Ehrhart theory
L Ferroni, A Higashitani - EMS Surveys in Mathematical Sciences, 2024 - ems.press
This article provides a comprehensive exposition about inequalities that the coefficients of
Ehrhart polynomials and h-polynomials satisfy under various assumptions. We pay …
Ehrhart polynomials and h-polynomials satisfy under various assumptions. We pay …
[HTML][HTML] Derangements, Ehrhart theory, and local h-polynomials
N Gustafsson, L Solus - Advances in Mathematics, 2020 - Elsevier
The Eulerian polynomials and derangement polynomials are two well-studied generating
functions that frequently arise in combinatorics, algebra, and geometry. When one makes an …
functions that frequently arise in combinatorics, algebra, and geometry. When one makes an …
Enumeration of lattice polytopes by their volume
G Balletti - Discrete & Computational Geometry, 2021 - Springer
A well-known result by Lagarias and Ziegler states that there are finitely many equivalence
classes of d-dimensional lattice polytopes having volume at most K, for fixed constants d and …
classes of d-dimensional lattice polytopes having volume at most K, for fixed constants d and …
[图书][B] Ehrhart Theory of Combinatorially Defined Polytopes
ML Hlavacek - 2023 - search.proquest.com
In geometric, algebraic, and topological combinatorics, properties such as symmetry,
unimodality, and real-rootedness of combinatorial generating polynomials are frequently …
unimodality, and real-rootedness of combinatorial generating polynomials are frequently …