Ruiling Zheng

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20212025

most citedArithmetic-Geometric spectral radii of Unicyclic graphs

1 citations · 1 across the 5 of their papers we have counts for

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math.CO2025

Spectral extrema of graphs of given even size forbidding H(4,3)

Ruiling Zheng, Gang Zhang

A graph is sad to be $H$ -free if it does not contain $H$ as a subgraph. Let $H (k, 3)$ be the graph formed by taking a cycle of length $k$ and a triangle on a common vertex. Li, Lu a…

math.CO2023

Extremal trees, unicyclic and bicyclic graphs with respect to $p$ -Sombor spectral radii

Ruiling Zheng, Tianlong Ma, Xian'an Jin

For a graph $G = (V, E)$ and $v_{i} \in V$ , denote by $d_{v_{i}}$ (or $d_{i}$ for short) the degree of vertex $v_{i}$ . The $p$ -Sombor matrix $S_{p} (G)$ ( $p \neq = 0$ ) of…

math.CO2023

Two spectral extremal results for graphs with given order and rank

Xiuqing Li, Xian'an Jin, Chao Shi +1

The spectral radius and rank of a graph are defined to be the spectral radius and rank of its adjacency matrix, respectively. It is an important problem in spectral extremal graph…

math.CO2022

Extremal trees with respect to spectral radius of restrictedly weighted adjacency matrices

Ruiling Zheng, Xiaxia Guan, Xian an Jin

For a graph $G = (V, E)$ and $v_{i} \in V$ , denote by $d_{i}$ the degree of vertex $v_{i}$ . Let $f (x, y) > 0$ be a real symmetric function in $x$ and $y$ . The weighted adjacency matrix $…

math.CO2021

Arithmetic-Geometric Spectral Radius of Trees and Unicyclic Graphs

Ruiling Zheng, Xian, an Jin

The arithmetic-geometric matrix $A_{a g} (G)$ of a graph $G$ is a square matrix, where the $(i, j)$ -entry is equal to $\frac{d _{i} + d _{j}}{2 d _{i} d _{j}}$ if the ver…