20 citations · 26 across the 13 of their papers we have counts for
4 papers · 1 filter
On directed strongly regular Cayley graphs over non-abelian groups with an abelian subgroup of index
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…
Spectral radius of graphs with given size and odd girth
Zhenzhen Lou, Lu Lu, Xueyi Huang
Let be the set of graphs with size and odd girth (the length of shortest odd cycle) . In this paper, we determine the graph maximizing the spectral radius…
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.…
Splitting fields of mixed Cayley graphs over abelian groups
Xueyi Huang, Lu Lu, Katja Mönius
The splitting field of a mixed graph is the smallest field extension of which contains all eigenvalues of the Hermitian adjacency matrix of . T…