3 citations · 6 across the 7 of their papers we have counts for
17 papers
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 in all classical types, improving a previous result by McAllister in $\mathfr…
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…
The Rank-Generating Functions of Upho Posets
Yibo Gao, Joshua Guo, Karthik Seetharaman +1
Upper homogeneous finite type (upho) posets are a large class of partially ordered sets with the property that the principal order filter at every vertex is isomorphic to the whole…
Counting Signed Vexillary Permutations
Yibo Gao, Kaarel Hänni
We show that the number of signed permutations avoiding 1234 equals the number of signed permutations avoiding 2143 (also called vexillary signed permutations), resolving a conject…
Compatible Recurrent Identities of the Sandpile Group and Maximal Stable Configurations
Yibo Gao, Rupert Li
In the abelian sandpile model, recurrent chip configurations are of interest as they are a natural choice of coset representatives under the quotient of the reduced Laplacian. We i…
Boolean elements in the Bruhat order
Yibo Gao, Kaarel Hänni
We show that is boolean if and only if it avoids a set of Billey-Postnikov patterns, which we describe explicitly. Our proof is based on an analysis of inversion sets, and…