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math.CO2025
On average orders of automorphism groups of bilinear maps over finite fields
Markus Bläser, Yinan Li, Youming Qiao +1
Let be a bilinear map of finite vector spaces and over a finite field . We present asymptotic bounds on the number of isomorphism classes o…
math.CO2023
On linear-algebraic notions of expansion
Yinan Li, Youming Qiao, Avi Wigderson +2
A fundamental fact about bounded-degree graph expanders is that three notions of expansion -- vertex expansion, edge expansion, and spectral expansion -- are all equivalent. In thi…
math.CO2022★ 1 cited
Connections between graphs and matrix spaces
Yinan Li, Youming Qiao, Avi Wigderson +2
Given a bipartite graph , the graphical matrix space consists of matrices whose non-zero entries can only be at those positions corresponding to edges in . Tu…