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Fractional revival on semi-Cayley graphs over abelian groups
Jing Wang, Ligong Wang, Xiaogang Liu
In this paper, we investigate the existence of fractional revival on semi-Cayley graphs over finite abelian groups. We give some necessary and sufficient conditions for semi-Cayley…
Sharp bounds for Laplacian spectral moments of digraphs with a fixed dichromatic number
Xiuwen Yang, Hajo Broersma, Ligong Wang
The -th Laplacian spectral moment of a digraph is defined as , where are the eigenvalues of the Laplacian matrix of and is a nonnegative in…
The sufficient conditions for -leaf-connected graphs in terms of several topological indices
Tingyan Ma, Ligong Wang, Yang Hu
Let be a graph with vertex set and edge set . For and given any subset with , if a graph of order $|V(G)|\geq k…
An improvement of sufficient condition for -leaf-connected graphs
Tingyan Ma, Guoyan Ao, Ruifang Liu +2
For integer a graph is called -leaf-connected if and given any subset with always has a spanning tree such that…
The spectral radius with given independence number
Xichan Liu, Ligong Wang
Let be a graph with adjacency matrix and degree diagonal matrix . In 2017, Nikiforov [Appl. Anal. Discrete Math., 11 (2017) 81--107] defined the matrix $A_α(G) =…
On the spectral radius and energy of non-strongly connected digraphs
Xiuwen Yang, Ligong Wang
Let be the -matrix of a digraph and be the eigenvalues of . Let be the spectral radius of and $E_α(G)=…