17 found
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  1.  8
    Number of Spanning Trees in the Sequence of Some Graphs.Jia-Bao Liu & S. N. Daoud - 2019 - Complexity 2019:1-22.
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  2.  10
    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 - 2020 - Complexity 2020:1-7.
    Let Γ be a simple connected undirected graph with vertex set VΓ and edge set EΓ. The metric dimension of a graph Γ is the least number of vertices in a set with the property that the list of distances from any vertex to those in the set uniquely identifies that vertex. For an ordered subset W=w1,w2,…,wk of vertices in a graph Γ and a vertex v of Γ, the metric representation of v with respect to W is the k-vector (...)
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  3. On Computation of Entropy of Hex-Derived Network.Pingping Song, Haidar Ali, Muhammad Ahsan Binyamin, Bilal Ali & Jia-Bao Liu - 2021 - Complexity 2021:1-18.
    A graph’s entropy is a functional one, based on both the graph itself and the distribution of probability on its vertex set. In the theory of information, graph entropy has its origins. Hex-derived networks have a variety of important applications in medication store, hardware, and system administration. In this article, we discuss hex-derived network of type 1 and 2, written as HDN 1 n and HDN 2 n, respectively of order n. We also compute some degree-based entropies such as Randić, (...)
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  4.  5
    A Review of Artificial Intelligence (AI) in Education From 2010 to 2020. [REVIEW]Xuesong Zhai, Xiaoyan Chu, Ching Sing Chai, Morris Siu Yung Jong, Andreja Istenic, Michael Spector, Jia-Bao Liu, Jing Yuan & Yan Li - 2021 - Complexity 2021:1-18.
    This study provided a content analysis of studies aiming to disclose how artificial intelligence has been applied to the education sector and explore the potential research trends and challenges of AI in education. A total of 100 papers including 63 empirical papers and 37 analytic papers were selected from the education and educational research category of Social Sciences Citation Index database from 2010 to 2020. The content analysis showed that the research questions could be classified into development layer, application layer, (...)
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  5.  6
    Effective Approach to Calculate Analysis Window in Infinite Discrete Gabor Transform.Rui Li, Yong Huang & Jia-Bao Liu - 2018 - Complexity 2018:1-10.
    The long-periodic/infinite discrete Gabor transform is more effective than the periodic/finite one in many applications. In this paper, a fast and effective approach is presented to efficiently compute the Gabor analysis window for arbitrary given synthesis window in DGT of long-periodic/infinite sequences, in which the new orthogonality constraint between analysis window and synthesis window in DGT for long-periodic/infinite sequences is derived and proved to be equivalent to the completeness condition of the long-periodic/infinite DGT. By using the property of delta function, (...)
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  6. Hamilton Connectivity of Convex Polytopes with Applications to Their Detour Index.Sakander Hayat, Asad Khan, Suliman Khan & Jia-Bao Liu - 2021 - Complexity 2021:1-23.
    A connected graph is called Hamilton-connected if there exists a Hamiltonian path between any pair of its vertices. Determining whether a graph is Hamilton-connected is an NP-complete problem. Hamiltonian and Hamilton-connected graphs have diverse applications in computer science and electrical engineering. The detour index of a graph is defined to be the sum of lengths of detours between all the unordered pairs of vertices. The detour index has diverse applications in chemistry. Computing the detour index for a graph is also (...)
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  7. How Does Inequality Affect the Residents’ Subjective Well-Being: Inequality of Opportunity and Inequality of Effort.Qizhi He, Hao Tong & Jia-Bao Liu - 2022 - Frontiers in Psychology 13.
    Based on the Chinese General Social Survey database, this article explores the relationship between income inequality and residents’ subjective well-being from the perspective of inequality of opportunity and inequality of effort. We find that inequality of opportunity has a negative impact on subjective well-being in China, where inequality of effort has a positive impact. Our empirical results are robust for changing the inequality indicators. In the sub-sample studies, consistent conclusions are obtained in rural areas, whereas in urban areas only inequality (...)
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  8. An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular.Yanan Liu, Muhammad Ahsan Binyamin, Adnan Aslam, Minahal Arshad, Chengmei Fan, Hassan Mahmood & Jia-Bao Liu - 2021 - Complexity 2021:1-5.
    A complete classification of simple function germs with respect to Lipschitz equivalence over the field of complex numbers ℂ was given by Nguyen et al. The aim of this article is to implement a classifier in terms of easy computable invariants to compute the type of the Lipschitz simple function germs without computing the normal form in the computer algebra system Singular.
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  9. The Laplacian Spectrum, Kirchhoff Index, and the Number of Spanning Trees of the Linear Heptagonal Networks.Jia-Bao Liu, Jing Chen, Jing Zhao & Shaohui Wang - 2022 - Complexity 2022:1-10.
    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 polynomial of H n, we utilize the method of decompositions. Thus, the Laplacian spectrum of H n is created by eigenvalues of a pair of matrices: L A and L S of order numbers 5 n + 1 and 4 n + 1 n! / r! n − r!, respectively. On the (...)
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  10. Experimental Research on Aerated Supercavitation Suppression of Capillary Outlet Throttling Noise.Qianxu Wang, Shouchuan Wang, Huan Zhang, Yuxuan Wang, Junhai Zhou, Panpan Zhao & Jia-Bao Liu - 2022 - Complexity 2022:1-11.
    The aim of this work is the reduction of the throttling noise when the capillary is used as a throttling device. Based on the theory of bubble dynamics, two-phase flow, and aerated supercavitation, four different sizes of aerated devices used in refrigerator refrigeration systems are designed. Throttling noise and the temperature and pressure of inlet and outlet of the capillary are measured under stable operation. To compare the noise suppression effects in different groups of experiments, we introduced the cavitation number (...)
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  11. An Empirical Study on the Improvement of College Students’ Employability Based on University Factors.Yi-Cheng Zhang, Yang Zhang, Xue-li Xiong, Jia-Bao Liu & Rong-Bing Zhai - 2022 - Frontiers in Psychology 13.
    With the popularization of higher education and the promotion of college enrollment expansion, the number of college graduates increases sharply. At the same time, the continuous transformation and upgrading of the industrial structure put forward higher requirements on the employability of college students, which leads to the imbalance between supply and demand in the labor market. The key to dealing with employment difficulties lie in the improvement of college students’ employability. Therefore, we make a regression analysis of 263 valid samples (...)
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  12. Research on the Resilience Evaluation and Spatial Correlation of China’s Sports Regional Development Under the New Concept.Jing Zhang, Jing-Ru Gan, Ying Wu, Jia-Bao Liu, Su Zhang & Bin Shao - 2022 - Frontiers in Psychology 12.
    In order to fully implement the new development concept, bring into full play the potential of sports development, and maintain the resilience of China’s sports development. This paper studies the resilience evaluation and spatial correlation of Chinese sports development under the new development concept. First, we constructed Resilience Evaluation Indexes System for Sports Development in China based on the analysis of the resilience features of sports development and the DPSIR model, which is from the five aspects of “driving force – (...)
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  13.  6
    Complete Characterization of Resistance Distance for Linear Octagonal Networks.Jing Zhao, Jia-Bao Liu & Ali Zafari - 2020 - Complexity 2020:1-13.
    Computing the resistance distance of a network is a fundamental and classical topic. In the aspects of considering the resistances between any two points of the lattice networks, there are many studies associated with the ladder networks and ladderlike networks. But the resistances between any two points for more complex structures than ladder networks or ladderlike networks are still unknown. In this paper, a rather complicated structure which is named linear octagonal network is considered. Treelike octagonal systems are cata-condensed systems (...)
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  14.  9
    Structure Properties of Koch Networks Based on Networks Dynamical Systems.Yinhu Zhai, Jia-Bao Liu & Shaohui Wang - 2017 - Complexity 2017:1-7.
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  15.  2
    Upper and Lower Bounds for the Kirchhoff Index of the N-Dimensional Hypercube Network.Jia-Bao Liu, Jing Zhao, Zhi-Yu Shi, Jinde Cao & Fuad E. Alsaadi - 2020 - Complexity 2020:1-4.
    The hypercube Qn is one of the most admirable and efficient interconnection network due to its excellent performance for some practical applications. The Kirchhoff index KfG is equal to the sum of resistance distances between any pairs of vertices in networks. In this paper, we deduce some bounds with respect to Kirchhoff index of hypercube network Qn.
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  16.  2
    Wiener and Hyper-Wiener Indices of Polygonal Cylinder and Torus.Zhi-Ba Peng, Abdul Rauf Nizami, Zaffar Iqbal, Muhammad Mobeen Munir, Hafiz Muhammad Waqar Ahmed & Jia-Bao Liu - 2021 - Complexity 2021:1-15.
    In this study, we first introduce polygonal cylinder and torus using Cartesian products and topologically identifications and then find their Wiener and hyper-Wiener indices using a quick, interesting technique of counting. Our suggested mathematical structures could be of potential interests in representation of computer networks and enhancing lattice hardware security.
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  17.  2
    Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks.Chengmei Fan, M. Mobeen Munir, Zafar Hussain, Muhammad Athar & Jia-Bao Liu - 2021 - Complexity 2021:1-10.
    Sierpinski networks are networks of fractal nature having several applications in computer science, music, chemistry, and mathematics. These networks are commonly used in chaos, fractals, recursive sequences, and complex systems. In this article, we compute various connectivity polynomials such as M -polynomial, Zagreb polynomials, and forgotten polynomial of generalized Sierpinski networks S k n and recover some well-known degree-based topological indices from these. We also compute the most general Zagreb index known as α, β -Zagreb index and several other general (...)
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