Shiliang Gao

activity

20172022

most citedThe

(2, 2)

and

(4, 3)

properties in families of fat sets in the plane

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2022

Degrees of the stretched Kostka quasi-polynomials

Shiliang Gao, Yibo Gao

We provide a type-uniform formula for the degree of the stretched Kostka quasi-polynomial $K_{λ, μ} (N)$ in all classical types, improving a previous result by McAllister in $\mathfr…

math.CO2022

Balanced shifted tableaux

Jiyang Gao, Shiliang Gao, Yibo Gao

We introduce balanced shifted tableaux, as an analogue of balanced tableaux of Edelman and Greene, from the perspective of root systems of type B and C. We show that they are equin…

math.CO2020

Multiplicity-free skew Schur polynomials

Shiliang Gao, Reuven Hodges, Gidon Orelowitz

We provide a non-recursive, combinatorial classification of multiplicity-free skew Schur polynomials. These polynomials are $G L_{n}$ , and $S L_{n}$ , characters of the skew Schur modules…

math.CO2017★ 1 cited

The $(2, 2)$ and $(4, 3)$ properties in families of fat sets in the plane

Shiliang Gao, Shira Zerbib

A family of sets satisfies the $(p, q)$ property if among every $p$ members of it some $q$ intersect. Given a number $0 < r \leq 1$ , a set $S \subset R^{2}$ is called $r$ -fat if t…

Degrees of the stretched Kostka quasi-polynomials

Balanced shifted tableaux

Multiplicity-free skew Schur polynomials

The (2,2) and (4,3) properties in families of fat sets in the plane

The $(2, 2)$ and $(4, 3)$ properties in families of fat sets in the plane