Danielle Y Wang

Journal article Enumerative Combinatorics and Applications · January 1, 2022 Let Pn be the convex hull in Rn of all parking functions of length n. Stanley found the number of vertices and the number of facets of Pn. Building upon these results, we determine the number of faces of arbitrary dimension ... Full text Cite

Uniform bounds for the number of rational points on symmetric squares of curves with low Mordell-Weil rank

Journal article Acta Arithmetica · January 1, 2021 Full text Cite

On roots of Wiener polynomials of trees

Journal article Discrete Mathematics · January 1, 2020 The Wiener polynomial of a connected graph G is the polynomial W(G;x)=∑i=1D(G)di(G)xi where D(G) is the diameter of G, and di(G) is the number of pairs of vertices of G at distance i from each other. ... Full text Cite

The Eulerian distribution on involutions is indeed γ-positive

Journal article Journal of Combinatorial Theory Series A · July 1, 2019 Let I n and J n denote the set of involutions and fixed-point free involutions of {1,…,n}, respectively, and let des(π) denote the number of descents of the permutation π. We prove a conjecture of Guo and Zeng which states that I Full text Cite

Modified Erdös–Ginzburg–Ziv constants for Z∕nZ and (Z∕nZ)2

Journal article Discrete Mathematics · April 1, 2019 For an abelian group G and an integer t>0, the modified Erdös–Ginzburg–Ziv constant st′(G) is the smallest integer ℓ such that any zero-sum sequence of length at least ℓ with elements in G contains a zero-sum subsequence (not necessa ... Full text Cite