Xueyi Huang

collaborators

4 papers

math.CO2022

On directed strongly regular Cayley graphs over non-abelian groups with an abelian subgroup of index $2$

Xueyi Huang, Lu Lu, Jongyook Park

In 1988, Duval introduced the concept of directed strongly regular graphs, which can be viewed as a directed graph version of strongly regular graphs. Such directed graphs have sim…

math.CO2022

Spectral radius and (globally) rigidity of graphs in $R^{2}$

Dandan Fan, Xueyi Huang, Huiqiu Lin

Over the past half century, the rigidity of graphs in $R^{2}$ has aroused a great deal of interest. Lovász and Yemini (1982) proved that every $6$ -connected graph is rigid in $R^{2}$ .…

math.CO2022

Distance-regular Cayley graphs over dicyclic groups

Xueyi Huang, Kinkar Chandra Das, Lu Lu

The characterization of distance-regular Cayley graphs originated from the problem of identifying strongly regular Cayley graphs, or equivalently, regular partial difference sets.…

math.CO2022

Splitting fields of mixed Cayley graphs over abelian groups

Xueyi Huang, Lu Lu, Katja Mönius

The splitting field $SF (Γ)$ of a mixed graph $Γ$ is the smallest field extension of $Q$ which contains all eigenvalues of the Hermitian adjacency matrix of $Γ$ . T…

On directed strongly regular Cayley graphs over non-abelian groups with an abelian subgroup of index 2

Spectral radius and (globally) rigidity of graphs in R2

Distance-regular Cayley graphs over dicyclic groups

Splitting fields of mixed Cayley graphs over abelian groups

On directed strongly regular Cayley graphs over non-abelian groups with an abelian subgroup of index $2$

Spectral radius and (globally) rigidity of graphs in $R^{2}$