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math.SP2026
Signed dual graphs and face spectral gaps of Cayley 2-complexes
Bobo Hua, Yong Lin, Tao Wang +1
We construct a weighted signed dual multigraph for the Cayley -complex of a finite presentation and represent its face Laplacian as a signed graph Laplacian with a diag…
math.AP2026
Solvability of Semilinear Elliptic Equations on Infinite Graphs
Bobo Hua, Yong Lin, Haohang Zhang
We develop a constructive method for solving semilinear elliptic equations on locally finite, connected infinite graphs with layered structure. Using Eidelheit's…
math.DG2026
The Ollivier Ricci flow with prescribed curvature on infinite graphs
Bobo Hua, Yong Lin, Shuang Liu
In this paper, we consider the Ricci flow with prescribed curvature on infinite graphs, which reads as \begin{equation*}\label{flow-equation3} \frac{d}{dt}ω(t)=-(κ(t)-κ^*)ω(t),~~ t…