Zhen Lin

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

11 citations · 34 across the 7 of their papers we have counts for

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8 papers · 1 filter

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…