4 papers · 1 filter
A symmetric function approach to log-concavity of independence polynomials
Ethan Y. H. Li, Grace M. X. Li, Arthur L. B. Yang +1
As introduced by Gutman and Harary, the independence polynomial of a graph serves as the generating polynomial of its independent sets. In 1987, Alavi, Malde, Schwenk and Erdős con…
Strongly nice property and Schur positivity of graphs
Ethan Y. H. Li, Grace M. X. Li, Arthur L. B. Yang +1
Motivated by the notion of nice graphs, we introduce the concept of strongly nice property, which can be used to study the Schur positivity of symmetric functions. We show that a g…
Stanley's conjecture on the Schur positivity of distributive lattices
Grace M. X. Li, Dun Qiu, Arthur L. B. Yang +1
In this paper we solve an open problem on distributive lattices, which was proposed by Stanley in 1998. This problem was motivated by a conjecture due to Griggs, which equivalently…
The combinatorics behind the leading Kazhdan-Lusztig coefficients of braid matroids
Alice L. L. Gao, Nicholas Proudfoot, Arthur L. B. Yang +1
Ferroni and Larson gave a combinatorial interpretation of the braid Kazhdan-Lusztig polynomials in terms of series-parallel matroids. As a consequence, they confirmed an explicit f…