4 citations · 5 across the 26 of their papers we have counts for
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The Second-Order Augmented Zarankiewicz Number
Liqun Qi, Chunfeng Cui
The second-order Zarankiewicz number and the biquadratic sum-of-squares rank are related by the unconditional hierarchy \[ \mathrm{BSR}(m,n)\ \ge\ z_…
A Weak Condition for Limited Augmented Zarankiewicz Numbers
Liqun Qi, Chunfeng Cui, Yi Xu
This paper introduces the weak augmented Zarankiewicz number and the weak limited augmented Zarankiewicz number , which are combinatorial extensions of t…
Three-Edges and the SOS Rank of Biquadratic Forms
Liqun Qi, Chunfeng Cui, Yi Xu
We extend the augmented bipartite graph framework for biquadratic sum-of-squares (SOS) ranks by introducing -edges -- triples of cells representing squares of three-term bilinea…
A General Lower Bound for the Limited Augmented Zarankiewicz Number based upon Complete Graphs
Liqun Qi, Chunfeng Cui, Yi Xu
The limited augmented Zarankiewicz number satisfies , where is the maximum SOS rank of $m\times…
Spectral Properties of Dual Unit Gain Graphs
Chunfeng Cui, Yong Lu, Liqun Qi +1
In this paper, we study dual quaternion and dual complex unit gain graphs and their spectral properties in a unified frame of dual unit gain graphs. Unit dual quaternions represent…