3 papers
math.CO2025
Combinatorial Laplacians and Relative Homology of Complex Pairs
Xiongfeng Zhan, Xueyi Huang, Lu Lu
As a discretization of the Hodge Laplacian, the combinatorial Laplacian of simplicial complexes has garnered significant attention. In this paper, we study combinatorial Laplacians…
math.CO2024
Fourier analysis on distance-regular Cayley graphs over abelian groups
Xiongfeng Zhan, Xueyi Huang, Lu Lu
The problem of constructing or characterizing strongly regular Cayley graphs (or equivalently, regular partial difference sets) has garnered significant attention over the past hal…
math.CO2023
Distance-regular Cayley graphs over (pseudo-) semi-dihedral groups
Xueyi Huang, Lu Lu, Xiongfeng Zhan
Distance-regular graphs are a class of regualr graphs with pretty combinatorial symmetry. In 2007, Miklavič and Potočnik proposed the problem of charaterizing distance-regular Cayl…