Column-Convex Matrices, G-Cyclic Orders, and Flow Polytopes
We study polytopes defined by inequalities of the form∑ i∈ I zi≤ 1 for I⊆[d] and
nonnegative zi where the inequalities can be reordered into a matrix inequality involving a …
nonnegative zi where the inequalities can be reordered into a matrix inequality involving a …
A triangulation of the flow polytope of the zigzag graph
R Brunner, CRH Hanusa - arxiv preprint arxiv:2406.20048, 2024 - arxiv.org
We show that the dual graph of the triangulation of the flow polytope of the zigzag graph
adorned with the length-reverse-length framing is a subgraph of a grid graph. Through …
adorned with the length-reverse-length framing is a subgraph of a grid graph. Through …
[HTML][HTML] Zig-zag Eulerian polynomials
For any finite partially ordered set P, the P-Eulerian polynomial is the generating function for
the descent number over the set of linear extensions of P, and is closely related to the order …
the descent number over the set of linear extensions of P, and is closely related to the order …
Ehrhart Polynomials of Order Polytopes: Interpreting Combinatorial Sequences on the OEIS
F Liu, G **n, C Zhang - arxiv preprint arxiv:2412.18744, 2024 - arxiv.org
In this paper, we provide an overview of Ehrhart polynomials associated with order
polytopes of finite posets, a concept first introduced by Stanley. We focus on their …
polytopes of finite posets, a concept first introduced by Stanley. We focus on their …
The root distributions of Ehrhart polynomials of free sums of reflexive polytopes
M Hachimori, A Higashitani, Y Yamada - arxiv preprint arxiv:2110.03579, 2021 - arxiv.org
In this paper, we study the root distributions of Ehrhart polynomials of free sums of certain
reflexive polytopes. We investigate cases where the roots of the Ehrhart polynomials of the …
reflexive polytopes. We investigate cases where the roots of the Ehrhart polynomials of the …
Some Computational Study of the Root Distribution of Ehrhart Polynomials
M Hachimori, Y Yamada - International Game Theory Review, 2023 - World Scientific
In this paper, we investigate the root distribution of the Ehrhart polynomials of lattice
polytopes. When the lattice polytope is reflexive, the roots of the Ehrhart polynomial …
polytopes. When the lattice polytope is reflexive, the roots of the Ehrhart polynomial …
Lattice Path Matroids: Base Polytopes & Ehrhart Theory
D Morales - 2024 - search.proquest.com
University of Kansas Thesis Template Page 1 Lattice Path Matroids: Base Polytopes & Ehrhart
Theory ©2024 Dania Morales BS Mathematics, Western Oregon University, 2011 MS …
Theory ©2024 Dania Morales BS Mathematics, Western Oregon University, 2011 MS …
[BOOK][B] Applications of Toric Geometry in Algebraic Statistics
JI Coons - 2021 - search.proquest.com
In the field of algebraic statistics, we use tools from algebra, geometry and combinatorics to
answer questions about statistical models viewed as algebraic varieties. In the present …
answer questions about statistical models viewed as algebraic varieties. In the present …
NUMBER OF LINEAR EXTENSIONS FOR A VARIANT OF UP-DOWN POSET
H Ju, KC Shim - Honam Mathematical Journal, 2021 - koreascience.kr
NUMBER OF LINEAR EXTENSIONS FOR A VARIANT OF UP-DOWN POSET Hyeong-Kwan
Ju and Kyu-Chul Shim 1. Introduction We consider the foll Page 1 Honam Mathematical J. 43 …
Ju and Kyu-Chul Shim 1. Introduction We consider the foll Page 1 Honam Mathematical J. 43 …
[PDF][PDF] AROUND WATANABE–YOSIDA'S CONJECTURE ON THE MINIMAL HILBERT–KUNZ MULTIPLICITY
I PAK, B SHAPIRO, I SMIRNOV, KENI YOSHIDA - 2020 - staff.math.su.se
AROUND WATANABE – YOSIDA’S CONJECTURE ON THE MINIMAL HILBERT–KUNZ
MULTIPLICITY 1. Introduction Let us start with a brief h Page 1 AROUND WATANABE …
MULTIPLICITY 1. Introduction Let us start with a brief h Page 1 AROUND WATANABE …