Jia-bao Liu

activity

20142022

most citedAnalyses of Some Structural Properties on a Class of Hierarchical Scale-free Networks

59 citations · 90 across the 42 of their papers we have counts for

collaborators

42 papers

math.CO2022

The statistical analysis for Sombor indices in a random polygonal chain networks

Jia-Bao Liu, Ya-Qian Zheng, Xin-Bei Peng

The Sombor indices, a new category of degree-based topological molecular descriptors, have been widely investigated due to their excellent chemical applicability. This paper aims t…

math.CO2022

The (degree)-Kirchhoff index of linear crossed octagonal-quadrilateral networks

Jia-Bao Liu, Ting Zhang, Wenshui Lin

The Kirchhoff index and degree-Kirchhoff index have attracted extensive attentions due to its practical applications in complex networks, physics, and chemistry. In 2019, Liu et al…

math.CO2022

The Laplacians, Kirchhoff index and complexity of linear Möbius and cylinder octagonal-quadrilateral networks

Jia-Bao Liu, Lu-Lu Fang, Qian Zheng +1

Spectrum graph theory not only facilitate comprehensively reflect the topological structure and dynamic characteristics of networks, but also offer significant and noteworthy appli…

math.CO2022★ 1 cited

The expected values, variances and limiting distributions of Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index for a class of random chain networks

Jia-Bao Liu, Qing Xie, Jiao-Jiao Gu

There has been an upsurge of research on complex networks in recent years. The purpose of this paper is to study the mathematical properties of the random chain networks PGn with t…

math.PR2022

The expected values and limiting behaviours for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-kirchhoff index of a random cyclooctane chain

Jia-Bao Liu, Jiao-Jiao Gu, Kang Wang

In this paper, we first introduce the explicit analytical formulas for the expected values of the Gutman and Schultz indices for a random cyclooctane chain COCn. Meanwhile, the exp…

math.CO2022★ 59 cited

Analyses of Some Structural Properties on a Class of Hierarchical Scale-free Networks

Jia-Bao Liu, Yan Bao, Wu-Ting Zheng

Hierarchical networks actually have many applications in the real world. Firstly, we propose a new class of hierarchical networks with scale-free and fractal structure, which are t…

math.CO2022

The Normalized Laplacian Spectrum Analysis of Fractal Mobius Octagonal Networks and its Applications

Jia-Bao Liu, Ting Zhang, Wenshui Lin

The study and calculation of spectrum of networks can be used to describe networks structure and quantify analysis of networks performance. The fractal Möbius octagonal networks, d…

math.CO2021★ 1 cited

Multiset and Mixed Metric Dimension for Starphene and Zigzag-Edge Coronoid

Jia-Bao Liu, Sunny Kumar Sharma, Vijay Kumar Bhat +1

Let $Γ = (V, E)$ be a simple connected graph. A vertex $a$ is said to recognize (resolve) two different elements $b_{1}$ and $b_{2}$ from $V (Γ) \cup E (Γ)$ if $d(a, b_{1})\neq d(a, b_{2…

math.CO2021

Metric dimension, doubly resolving set and strong metric dimension for $(C_{n} □ P_{k}) □ P_{m}$

Jia-Bao Liu, Ali Zafari

A subset $Q = {q_{1}, q_{2}, ..., q_{l}}$ of vertices of a connected graph $G$ is a doubly resolving set of $G$ if for any various vertices $x, y \in V (G)$ we have $r(x|Q)-r(y|Q)\neqλI…

math.CO2021

Edge Resolvability for Circular Ladder of Heptagons

Jia-Bao Liu, Sunny Kumar Sharma, Vijay Kumar Bhat +1

A set $Y$ of elements (vertices or edges) in space is said to be a $g e n er a t or$ of a metric space if each element of the space is recognized by its distances from the eleme…

math.CO2020

The Laplacian spectrum, Kirchhoff index and complexity of the linear heptagonal networks

Jia-Bao Liu, Jing Chen, Jing Zhao +1

Let $H_{n}$ be the linear heptagonal networks with $2 n$ heptagons. We study the structure properties and the eigenvalues of the linear heptagonal networks. According to the Laplacian…

math.SP2020

The Laplacian and normalized Laplacian spectra of Mobius polyomino networks and their applications

Zhi-Yu Shi, Jia-Bao Liu, Sakander Hayat

Spectral theory has widely used in complex networks and solved some practical problems. In this paper, we investigated the Laplacian and normalized Laplacian spectra of Mobius poly…

math.CO2020★ 2 cited

Ordering Trees by Their ABC Spectral Radii

Wenshui Lin, Zhangyong Yan, Peifang Fu +1

Let $G = (V, E)$ be a connected graph, where $V = {v_{1}, v_{2}, \dots, v_{n}}$ . Let $d_{i}$ denote the degree of vertex $v_{i}$ . The ABC matrix of $G$ is defined as $M(G)=(m_{ij})_{n \times n…

math.CO2020★ 1 cited

The (multiplicative degree-)Kirchhoff index of graphs derived from the Catersian product of $S_{n}$ and $K_{2}$

Jia-Bao Liu, Xin-Bei Peng, Jiao-Jiao Gu +1

Recently, Li et al. [Appl. Math. Comput. 382 (2020) 125335] proposed the problem of determining the Kirchhoff index and multiplicative degree-Kirchhoff index of graphs derived from…

math.SP2020★ 2 cited

On the Maximum ABC Spectral Radius of Connected Graphs and Trees

Wenshui Lin, Yiming Zheng, Peifang Fu +2

Let $G = (V, E)$ be a connected graph, where $V = {v_{1}, v_{2}, \dots, v_{n}}$ and $m = ∣ E ∣$ . $d_{i}$ will denote the degree of vertex $v_{i}$ of $G$ , and $Δ = max_{1 \leq i \leq n} d_{i}$ . The ABC…

math.SP2020

The normalized Laplacians and random walks of the parallel subdivision graphs

Jing Zhao, Jia-Bao Liu, Ying-Ying Tan +1

The $k$ -parallel subdivision graph $S_{k} (G)$ is generated from $G$ which each edge of $G$ is replaced by $k$ parallel paths of length 2. The $2 k$ -parallel subdivision graph $S_{2k}(…

math.CO2019★ 2 cited

On Topological Properties of Planar Octahedron Networks

Haidar Ali, Farzana Kousar

Topological indices are scientific details of graphs which represents its topology and of the most part graph invariant. In QSAR/QSPR, physico-chemical characteristics and topologi…

math.GM2019★ 3 cited

Metric dimension, minimal doubly resolving sets and the strong metric dimension for jellyfish graph and cocktail party graph

Jia-Bao Liu, Ali Zafari, Hassan Zarei

Let $Γ$ be a simple connected undirected graph with vertex set $V (Γ)$ and edge set $E (Γ)$ . The metric dimension of a graph $Γ$ is the least number of vertices in a set with the pro…

math.CO2019

Some resolving parameters in a class of Cayley graphs

Jia-Bao Liu, Ali Zafari

Resolving parameters is a fundamental area of combinatorics with applications not only to many branches of combinatorics but also to other sciences. In this article, we construct a…

math.CO2019

Computing the Laplacian spectrum of linear octagonal-quadrilateral networks and its applications

Jia-Bao Liu, Zhi-Yu Shi, Ying-Hao Pan +3

Let Ln denote linear octagonal-quadrilateral networks. In this paper, we aim to firstly investigate the Laplacian spectrum on the basis of Laplacian polynomial of Ln. Then, by appl…

math.SP2019★ 2 cited

Resistance distance-based graph invariants and the number of spanning trees of linear crossed octagonal graphs

Jing Zhao, Jia-Bao Liu, Sakander Hayat

Resistance distance is a novel distance function, also a new intrinsic graph metric, which makes some extensions of ordinary distance. Let On be a linear crossed octagonal graph. R…

math.CO2018

On the largest $A_{α}$ -spectral radius of cacti

Shaohui Wang, Chunxiang Wang, Jia-Bao Liu +1

Let $A (G)$ be the adjacent matrix and $D (G)$ the diagonal matrix of the degrees of a graph $G$ , respectively. For $0 \leq α \leq 1$ , the $A_{α}$ matrix $A_{α} (G) = α D (G) + (1 - α) A (G)$ is…

math.CO2018

Some Relations on Paratopisms and An Intuitive Interpretation on the Parastrophes of a Latin Square

Wen-Wei Li, Jia-Bao Liu, Xin Hou

This paper will present some intuitive interpretation of the parastrophe transformations of arbitrary Latin square. With this trick, we can generate the parastrophes of arbitrary L…

math.CO2017

Graphs having extremal monotonic topological indices with bounded vertex $k$ -partiteness

Fang Gao, Duo Duo Zhao, Xiao-Xin Li +1

The vertex $k$ -partiteness $v_{k} (G)$ of graph $G$ is defined as the fewest number of vertices whose deletion from $G$ yields a $k$ -partite graph. In this paper, we introduce two con…

The statistical analysis for Sombor indices in a random polygonal chain networks

The (degree)-Kirchhoff index of linear crossed octagonal-quadrilateral networks

The Laplacians, Kirchhoff index and complexity of linear Möbius and cylinder octagonal-quadrilateral networks

The expected values, variances and limiting distributions of Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index for a class of random chain networks

The expected values and limiting behaviours for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-kirchhoff index of a random cyclooctane chain

Analyses of Some Structural Properties on a Class of Hierarchical Scale-free Networks

The Normalized Laplacian Spectrum Analysis of Fractal Mobius Octagonal Networks and its Applications

Multiset and Mixed Metric Dimension for Starphene and Zigzag-Edge Coronoid

Metric dimension, doubly resolving set and strong metric dimension for (Cn​□Pk​)□Pm​

Edge Resolvability for Circular Ladder of Heptagons

The Laplacian spectrum, Kirchhoff index and complexity of the linear heptagonal networks

The Laplacian and normalized Laplacian spectra of Mobius polyomino networks and their applications

Ordering Trees by Their ABC Spectral Radii

The (multiplicative degree-)Kirchhoff index of graphs derived from the Catersian product of Sn​ and K2​

On the Maximum ABC Spectral Radius of Connected Graphs and Trees

The normalized Laplacians and random walks of the parallel subdivision graphs

On Topological Properties of Planar Octahedron Networks

Metric dimension, minimal doubly resolving sets and the strong metric dimension for jellyfish graph and cocktail party graph

Some resolving parameters in a class of Cayley graphs

Computing the Laplacian spectrum of linear octagonal-quadrilateral networks and its applications

Resistance distance-based graph invariants and the number of spanning trees of linear crossed octagonal graphs

On the largest Aα​-spectral radius of cacti

Some Relations on Paratopisms and An Intuitive Interpretation on the Parastrophes of a Latin Square

Graphs having extremal monotonic topological indices with bounded vertex k-partiteness

Metric dimension, doubly resolving set and strong metric dimension for $(C_{n} □ P_{k}) □ P_{m}$

The (multiplicative degree-)Kirchhoff index of graphs derived from the Catersian product of $S_{n}$ and $K_{2}$

On the largest $A_{α}$ -spectral radius of cacti

Graphs having extremal monotonic topological indices with bounded vertex $k$ -partiteness