Weige Xi

most citedOn the

A_{α}

spectral radius and

A_{α}

energy of digraphs

1 citations · 1 across the 2 of their papers we have counts for

collaborators

5 papers

math.CO2021★ 1 cited

On the $A_{α}$ spectral radius and $A_{α}$ energy of digraphs

Weige Xi

Let $G$ be a digraph with adjacency matrix $A (G)$ and outdegrees diagonal matrix $D (G)$ . For any real $α \in [0, 1]$ , the $A_{α}$ matrix $A_{α} (G)$ of a digraph $G$ is defined as $A_α(G)=…

math.CO2021

On the $A_{α}$ spectral radius of strongly connected digraphs

Weige Xi, Ligong Wang

Let $G$ be a digraph with adjacency matrix $A (G)$ . Let $D (G)$ be the diagonal matrix with outdegrees of vertices of $G$ . Nikiforov \cite{Niki} proposed to study the convex combinat…

math.CO2018

The generalized distance matrix of digraphs

Weige Xi, Wasin So, Ligong Wang

Let $D (G)$ and $D^{Q} (G) = D ia g (T r) + D (G)$ be the distance matrix and distance signless Laplacian matrix of a simple strongly connected digraph $G$ , respectively, where $Diag(Tr)=\te…

math.CO2018

Merging the A- and Q-spectral theories for digraphs

Weige Xi, Wasin So, Ligong Wang

Let $G$ be a digraph and $A (G)$ be the adjacency matrix of $G$ . Let $D (G)$ be the diagonal matrix with outdegrees of vertices of $G$ . For any real $α \in [0, 1]$ , Liu et al. \cite{LWC…

math.CO2018

The unicyclic graphs with the second smallest normalized Laplacian eigenvalue no less than $1 - \frac{6}{3}$

Weige Xi, Ligong Wang, Xiangxiang Liu +2

Let $λ_{2} (G)$ be the second smallest normalized Laplacian eigenvalue of a graph $G$ . In this paper, we determine all unicyclic graphs of order $n \geq 21$ with $λ_{2}(G)\geq 1-\frac…

On the Aα​ spectral radius and Aα​ energy of digraphs

On the Aα​ spectral radius of strongly connected digraphs

The generalized distance matrix of digraphs

Merging the A- and Q-spectral theories for digraphs

The unicyclic graphs with the second smallest normalized Laplacian eigenvalue no less than 1−36​​

On the $A_{α}$ spectral radius and $A_{α}$ energy of digraphs

On the $A_{α}$ spectral radius of strongly connected digraphs

The unicyclic graphs with the second smallest normalized Laplacian eigenvalue no less than $1 - \frac{6}{3}$