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math.CO2018
The generalized distance matrix of digraphs
Weige Xi, Wasin So, Ligong Wang
Let and be the distance matrix and distance signless Laplacian matrix of a simple strongly connected digraph , respectively, where $Diag(Tr)=\te…
math.CO2018★ 3 cited
Merging the A- and Q-spectral theories for digraphs
Weige Xi, Wasin So, Ligong Wang
Let be a digraph and be the adjacency matrix of . Let be the diagonal matrix with outdegrees of vertices of . For any real , Liu et al. \cite{LWC…
math.CO2018
The unicyclic graphs with the second smallest normalized Laplacian eigenvalue no less than
Weige Xi, Ligong Wang, Xiangxiang Liu +2
Let be the second smallest normalized Laplacian eigenvalue of a graph . In this paper, we determine all unicyclic graphs of order with $λ_{2}(G)\geq 1-\frac…