3 papers
math.OC2026
Exact and Asymptotic Values for Weak Limited Augmented Zarankiewicz Numbers in the Case
Liqun Qi, Yannan Chen, Johan Löfberg
We determine the exact weak limited augmented Zarankiewicz numbers for all : \[ z_{wL}(m,3)= \begin{cases} m+3+\left\lceil \dfrac{m}{2}\right\rceil+1, & 9\le…
math.CO2026
The SOS Rank of a Biquadratic Form via Orthogonality
Yannan Chen
Biquadratic forms arise naturally in polynomial optimization, tensor analysis, and quantum information theory. A key problem is determining the minimal number of squares needed in…
math.RA2025
Even Order Pascal Tensors are Positive Definite
Chunfeng Cui, Liqun Qi, Yannan Chen
In this paper, we show that even order Pascal tensors are positive definite, and odd order Pascal tensors are strongly completely positive. The significance of these is that our in…