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math.CO2023
On the complexity of Cayley graphs on a dihedral group
Bobo Hua, Alexander Mednykh, Ilya Mednykh +1
In this paper, we investigate the complexity of an infinite family of Cayley graphs $\mathcal{D}_{n}=Cay(\mathbb{D}_{n}, b^{\pmβ_1},b^{\pmβ_2},\ldots,b^{\pmβ_s}, a b^{γ_1}, a b^{γ_…
math.AP2023
The Wave Equation on Lattices and Oscillatory Integrals
Cheng Bi, Jiawei Cheng, Bobo Hua
In this paper, we establish sharp dispersive estimates for the linear wave equation on the lattice with dimension . Combining the singularity theory with result…
math.AP2023
The existence of ground state solutions for nonlinear p-Laplacian equations on lattice graphs
Bobo Hua, Wendi Xu
In this paper, we study the nonlinear -Laplacian equation with positive and periodic potential on the lattice graph , whe…