Zhen Lin

activity

20202023

most citedOn the spectral radius, energy and Estrada index of the Sombor matrix of graphs

11 citations · 34 across the 9 of their papers we have counts for

collaborators

9 papers

math.CO2023

The Laplacian spectral ratio of connected graphs

Zhen Lin, Jiajia Wang, Min Cai

Let $G$ be a simple connected undirected graph. The Laplacian spectral ratio of $G$ , denoted by $R_{L} (G)$ , is defined as the quotient between the largest and second smallest Laplaci…

math.CO2021

The biharmonic index of connected graphs

Zhen Lin

Let $G$ be a simple connected graph with the vertex set $V (G)$ and $d_{B}^{2} (u, v)$ be the biharmonic distance between two vertices $u$ and $v$ in $G$ . The biharmonic index $B H (G)$ o…

math.CO2021

The general Albertson irregularity index of graphs

Zhen Lin, Ting Zhou, Lianying Miao

We introduce the general Albertson irregularity index of a connected graph $G$ and define it as $A_{p} (G) = (\sum_{uv \in E (G)} ∣ d (u) - d (v) ∣^{p})^{\frac{1}{p}}$ , where $p$ is a positive…

math.CO2021★ 6 cited

On the first Banhatti-Sombor index

Zhen Lin, Ting Zhou, V. R. Kulli +1

Let $d_{v}$ be the degree of the vertex $v$ in a connected graph $G$ . The first Banhatti-Sombor index of $G$ is defined as $BSO(G) =\sum_{uv\in E(G)}\sqrt{\frac{1}{d^2_u}+\frac{1}{d^…

math.CO2021★ 11 cited

The Sombor index of trees and unicyclic graphs with given maximum degree

Ting Zhou, Zhen Lin, Lianying Miao

Let $d_{G} (v)$ be the degree of the vertex $v$ in a graph $G$ . The Sombor index of $G$ is defined as $S O (G) = \sum_{uv \in E (G)} d_{G}^{2} (u) + d_{G}^{2} (v)$ , which is a new degree-based t…

math.CO2021★ 6 cited

The Sombor index of trees and unicyclic graphs with given matching number

Ting Zhou, Zhen Lin, Lianying Miao

In 2021, the Sombor index was introduced by Gutman, which is a new degree-based topological molecular descriptors. The Sombor index of a graph $G$ is defined as $SO(G) =\sum_{uv\in…

math.CO2021★ 11 cited

On the spectral radius, energy and Estrada index of the Sombor matrix of graphs

Zhen Lin

Let $G$ be a simple undirected graph with vertex set $V (G) = {v_{1}, v_{2}, \dots, v_{n}}$ and edge set $E (G)$ . The Sombor matrix $S (G)$ of a graph $G$ is defined so that its…

math.CO2020

On the sum of the largest $A_{α}$ -eigenvalues of graphs

Zhen Lin, Lianying Miao, Shuguang Guo

For every real $0 \leq α \leq 1$ , Nikiforov defined the $A_{α}$ -matrix of a graph $G$ as $A_{α} (G) = α D (G) + (1 - α) A (G)$ , where $A (G)$ and $D (G)$ are the adjacency matrix and the degree diago…

math.CO2020

On the Ky Fan $k$ -norm of the $L I$ -matrix of graphs

Zhen Lin, Lianying Miao, Guanglong Yu +1

Let $A (G)$ and $D (G)$ be the adjacency matrix and the degree diagonal matrix of a graph $G$ , respectively. Then $L (G) = D (G) - A (G)$ is called Laplacian matrix of the graph $G$ . Let $G…

The Laplacian spectral ratio of connected graphs

The biharmonic index of connected graphs

The general Albertson irregularity index of graphs

On the first Banhatti-Sombor index

The Sombor index of trees and unicyclic graphs with given maximum degree

The Sombor index of trees and unicyclic graphs with given matching number

On the spectral radius, energy and Estrada index of the Sombor matrix of graphs

On the sum of the largest Aα​-eigenvalues of graphs

On the Ky Fan k-norm of the LI-matrix of graphs

On the sum of the largest $A_{α}$ -eigenvalues of graphs

On the Ky Fan $k$ -norm of the $L I$ -matrix of graphs