20 citations · 26 across the 13 of their papers we have counts for
13 papers · 1 filter
Distance-regular Cayley graphs over
Xiongfeng Zhan, Lu Lu, Xueyi Huang
In [Distrance-regular Cayley graphs on dihedral groups, J. Combin. Theory Ser B 97 (2007) 14--33], Miklavič and Potočnik proposed the problem of characterizing distance-regular Cay…
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…
Mixed graphs with smallest eigenvalue greater than
Lu Lu, ZhenZhen Lou
The classical problem of characterizing the graphs with bounded eigenvalues may date back to the work of Smith in 1970. Especially, the research on graphs with smallest eigenvalues…