6 citations · 11 across the 6 of their papers we have counts for
7 papers
Parking Function Polytopes
Fu Liu, Warut Thawinrak
We extend the notion of parking function polytopes and study their geometric and combinatorial structure, including normal fans, face posets, and -polynomials, as well as their…
On positivity of Ehrhart polynomials
Fu Liu
Ehrhart discovered that the function that counts the number of lattice points in dilations of an integral polytope is a polynomial. We call the coefficients of this polynomial Ehrh…
Smooth polytopes with negative Ehrhart coefficients
Federico Castillo, Fu Liu, Benjamin Nill +1
We present examples of smooth lattice polytopes in dimensions 3 and higher where each coefficient of their Ehrhart polynomials that can potentially be negative is indeed negative.…
Severi degrees on toric surfaces
Fu Liu, Brian Osserman
Ardila and Block used tropical results of Brugalle and Mikhalkin to count nodal curves on a certain family of toric surfaces. Building on a linearity result of the first author, we…
A Distributive Lattice Connected with Arithmetic Progressions of Length Three
Fu Liu, Richard P. Stanley
Let be a collection of 3-element subsets of with the property that if and are two 3-element subsets in , then there exists an…
A combinatorial analysis of Severi degrees
Fu Liu
Based on results by Brugallé and Mikhalkin, Fomin and Mikhalkin give formulas for computing classical Severi degrees using long-edge graphs. In 2012, Block, Colley and K…
The Lecture Hall Parallelepiped
Fu Liu, Richard P. Stanley
The s-lecture hall polytopes P_s are a class of integer polytopes defined by Savage and Schuster which are closely related to the lecture hall partitions of Eriksson and Bousquet-M…