Author

Bobo Hua

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Preprint Oct 2026

Signed dual graphs and face spectral gaps of Cayley 2-complexes

We construct a weighted signed dual multigraph for the Cayley $2$-complex of a finite presentation and represent its $\ell^2$ face Laplacian as a signed graph Laplacian with a diagonal potential. We prove that the face spectral gap above the kernel vanishes for the Baumslag--Solitar groups $\operatorname{BS}(1,m)$, $m\...

Bo-Bo Hua, Yong Lin, Tao Wang et al. · 0 citations

Preprint Sep 2026

Solvability of Semilinear Elliptic Equations on Infinite Graphs

We develop a constructive method for solving semilinear elliptic equations $\Delta u(x)=f(x,u(x))$ on locally finite, connected infinite graphs with layered structure. Using Eidelheit's theorem, we establish coupling criteria ensuring that arbitrary initial-layer data extend to global solutions for every $f$. We apply...

Bobo Hua, Yong Lin, Hao-Hang Zhang · 1 citation