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

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35 papers · 1 filter

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.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.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.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.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.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…

math.CO2017

A note on "Extremal graphs with bounded vertex bipartiteness number"

Jia-Bao Liu, Shaohui Wang

This paper is devoted to present two counterexamples to the theorem from \cite{MK} Maria R., Katherine T. M., Bernardo S. M., Extremal graphs with bounded vertex bipartiteness numb…

math.CO2017

Sharp upper bounds for multiplicative Zagreb indices of bipartite graphs with given diameter

Chunxiang Wang, Jia-Bao Liu, Shaohui Wang

The first multiplicative Zagreb index of a graph $G$ is the product of the square of every vertex degree, while the second multiplicative Zagreb index is the product of the degree…

math.CO2016★ 9 cited

Bounds of Zagreb indices and hyper Zagreb indices

Shaohui Wang, Wei Gao, Muhammad K. Jamil +2

The hyper Zagreb index is a kind of extensions of Zagreb index, used for predicting physicochemical properties of organic compounds. Given a graph $G = (V (G), E (G))$ , the first hype…

math.CO2016★ 2 cited

On the Number of Conjugate Classes of Derangements

Wen-Wei Li, Zhong-Lin Cheng, Jia-Bao Liu

The number of conjugate classes of derangements of order $n$ is the same as the number $h (n)$ of the restricted partitions with every portion greater than $1$ . It is also equal to…

math.CO2016★ 1 cited

kirchhoff index and degree kirchhoff index of complete multipartite graph

Ravindra B. Bapat, Masoud Karimi, Jia-Bao Liu

The Kirchhoff index of a graph is defined as half of the sum of all effective resistance distances between any two vertices. Assuming a complete multipartite graph G, by methods fr…

math.CO2016★ 1 cited

On extremal multiplicative Zagreb indices of trees with given domination number

Shaohui Wang, Chunxiang Wang, Jia-Bao Liu

For a graph $G$ , the first multiplicative Zagreb index $\prod_{1}$ is equal to the product of squares of the vertex degrees, and the second multiplicative Zagreb index $\prod_{2}$ is e…

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

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

Ordering Trees by Their ABC Spectral Radii

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

On Topological Properties of Planar Octahedron Networks

Some resolving parameters in a class of Cayley graphs

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

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

A note on "Extremal graphs with bounded vertex bipartiteness number"

Sharp upper bounds for multiplicative Zagreb indices of bipartite graphs with given diameter

Bounds of Zagreb indices and hyper Zagreb indices

On the Number of Conjugate Classes of Derangements

kirchhoff index and degree kirchhoff index of complete multipartite graph

On extremal multiplicative Zagreb indices of trees with given domination number

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