1 citations · 1 across the 8 of their papers we have counts for
8 papers
Tilted Richardson Varieties
Jiyang Gao, Shiliang Gao, Yibo Gao
The study of the flag variety and its subvarieties, including Schubert and Richardson varieties, plays a fundamental role in algebraic geometry and algebraic combin…
On two notions of total positivity for generalized partial flag varieties of classical Lie types
Grant Barkley, Jonathan Boretsky, Christopher Eur +1
For Grassmannians, Lusztig's notion of total positivity coincides with positivity of the Plucker coordinates. This coincidence underpins the rich interaction between matroid theory…
Rigidity matroids and linear algebraic matroids with applications to matrix completion and tensor codes
Joshua Brakensiek, Manik Dhar, Jiyang Gao +2
We establish a connection between problems studied in rigidity theory and matroids arising from linear algebraic constructions like tensor products and symmetric products. A specia…
Characterizing positroid quotients of uniform matroids
Zhixing Chen, Yumou Fei, Jiyang Gao +2
We study two-step flag positroids , where is a quotient of . We provide a complete characterization of all two-step flag positroids that contain a uniform…
Quantum Bruhat graphs and tilted Richardson varieties
Jiyang Gao, Shiliang Gao, Yibo Gao
Quantum Bruhat graph is a weighted directed graph on a finite Weyl group first defined by Brenti-Fomin-Postnikov. It encodes quantum Monk's rule and can be utilized to study the $3…
Acyclic Orientations and the Chromatic Polynomial of Signed Graphs
Jiyang Gao
We present a new correspondence between acyclic orientations and coloring of a signed graph (symmetric graph). Goodall et al. introduced a bivariate chromatic polynomial …
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…
Sandpile Groups of Cayley Graphs of
Jiyang Gao, Jared Marx-Kuo, Vaughan McDonald +1
The sandpile group of a connected graph , defined to be the torsion part of the cokernel of the graph Laplacian, is a subtle graph invariant with combinatorial, algebraic, and g…