84 citations · 255 across the 31 of their papers we have counts for
7 papers · 1 filter
Spectral conditions for -extendability and -factors of bipartite graphs
Dandan Fan, Huiqiu Lin
Let be a connected graph. If contains a matching of size , and every matching of size is contained in a perfect matching of , then is said to be \emph{-ext…
State transfer on integral mixed circulant graphs
Xing-Kun Song, Huiqiu Lin
A mixed circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perf…
Spectral radius and edge-disjoint spanning trees
Dandan Fan, Xiaofeng Gu, Huiqiu Lin
The spanning tree packing number of a graph , denoted by , is the maximum number of edge-disjoint spanning trees contained in . The study of is one of the classi…
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 .…
Toughness, hamiltonicity and spectral radius in graphs
Dandan Fan, Huiqiu Lin, Hongliang Lu
The study of the existence of hamiltonian cycles in a graph is a classic problem in graph theory. By incorporating toughness and spectral conditions, we can consider Chvátal's conj…
Eigenvalues of signed graphs
Dan Li, Huiqiu Lin, Jixiang Meng
Signed graphs have their edges labeled either as positive or negative. denote the -spectral radius of , where is a real symmetric graph matrix of . Obvious…