45 citations · 48 across the 20 of their papers we have counts for
7 papers · 1 filter
Spectral conditions for graphs having all (fractional) -factors
Jiaxin Zheng, Junjie Wang, Xueyi Huang
Let be two positive integers. We say that a graph has all -factors if it has an -factor for every function such that $a\le…
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…
Spectral radius and (globally) rigidity of graphs in
Dandan Fan, Xueyi Huang, Huiqiu Lin
Over the past half century, the rigidity of graphs in has aroused a great deal of interest. Lovász and Yemini (1982) proved that every -connected graph is rigid in .…
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…
On distance-regular Cayley graphs of generalized dicyclic groups
Xueyi Huang, Kinkar Chandra Das
Let be a generalized dicyclic group with identity . An inverse closed subset of is called minimal if and there exists some $s\in S…