84 citations · 255 across the 31 of their papers we have counts for
9 papers · 1 filter
Graphs with three distinct distance eigenvalues
Yuke Zhang, Huiqiu Lin
In this paper, some special distance spectral properties of graphs are considered. Concretely, we recursively construct an infinite family of trees with distance eigenvalue , a…
Spectral radius and -factors in graphs
Dandan Fan, Huiqiu Lin, Hongliang Lu
An -factor of a graph is a spanning subgraph such that for each . In this paper, we provide spectral conditions for the existence o…
Spectral radius, edge-disjoint cycles and cycles of the same length
Huiqiu Lin, Mingqing Zhai, Yanhua Zhao
In this paper, we give spectral conditions to guarantee the existence of two edge disjoint cycles and two cycles of the same length. These two results can be seen as spectral analo…
Spectral extrema of -minor free graphs--On a conjecture of M. Tait
Mingqing Zhai, Huiqiu Lin
Minors play an important role in extremal graph theory and spectral extremal graph theory. Tait [The Colin de Verdière parameter, excluded minors, and the spectral radius, J. Combi…
On balanced characteristic functions of canonical cliques in Paley graphs of square order
Sergey Goryainov, Huiqiu Lin
In this paper we prove that balanced characteristic functions of canonical cliques in a Paley graph of square order span the -eigenspace of the graph. This…
The spanning -trees, perfect matchings and spectral radius of graphs
Dandan Fan, Sergey Goryainov, Xueyi Huang +1
A -tree is a spanning tree in which every vertex has degree at most . In this paper, we provide a sufficient condition for the existence of a -tree in a connected graph wi…