6 citations · 11 across the 6 of their papers we have counts for
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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.…
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…