Uncertainty analysis of linear and non-linear regression models in the modeling of water quality in the Caspian Sea basin: Application of Monte-Carlo method by Sahar Heidari Masteali, Mahmoud Bayat, Pete Bettinger, Mansour Ghorbanpour

“…These outcomes suggest that landscape indicators and graph theory continuity can be used to model water quality parameters with an acceptable level of uncertainty.…”
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Computing Topological Indices and Polynomials of the Rhenium Trioxide by Shahid Imran, Muhammad Mudassar Raza, Niat Nigar, Syed Ajaz K. Kirmani, Fikre Bogale Petros

“…In the study of mathematical chemistry and chemical graph theory, a topological index, also known as a connectivity index, is the arithmetical framework of a graph that specifies its topology and also graph invariant. …”
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DEVELOPMENT OF COMPUTER MODEL AND INVESTIGATION OF HYDRAULIC OPERATIONAL MODES OF CIRCULATING SYSTEMS AT VAZ THERMAL POWER STATION by V. V. Dikop, A. V. Bukhtiarov, A. G. Kovalenko, V. V. Kotov, V. A. Kudinov

“…Results of investigations of fluid levels in capacitances of cooling towers and in a forebay are shown on a computer model developed with the help of graph theory.…”
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THE ANALYSIS OF STUDENTS' ACTIVITY IN SOCIAL NETWORK by Vasiliy V. Krasil'shchikov, Mitrofan A. Osetrov

“…Methods of mathematical modeling of networks, Graph Theory, and Statistics were used. The research of the personal pages in the social network «VKontakte » of full-time courses students of Vladimir branch of the Russian University of Cooperation was conducted to illustrate the methods. …”
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Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms by Wenxue Li, Tianrui Chen, Ke Wang

“…By employing Lyapunov method and Kirchhoff's Theorem in graph theory, a systematic method is proposed to guarantee exponential stability of CSNMRs. …”
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Statistical Analyses of a Class of Random Pentagonal Chain Networks with respect to Several Topological Properties by Jia-Bao Liu, Qing Xie, Jiao-Jiao Gu

“…The purpose of this paper is to study the mathematical properties of the random pentagonal chain networks PECn with the help of graph theory. Based on the networks PECn, we first obtain the expected value expressions of the Gutman index, Schultz index, multiplicative degree-Kirchhoff index, and additive degree-Kirchhoff index, and then, we get the explicit expression formulas of their variances. …”
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Fixation Probabilities of Evolutionary Graphs Based on the Positions of New Appearing Mutants by Pei-ai Zhang

“…Evolutionary graph theory is a nice measure to implement evolutionary dynamics on spatial structures of populations. …”
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More on Spectral Analysis of Signed Networks by Guihai Yu, Hui Qu

“…Spectral graph theory plays a key role in analyzing the structure of social (signed) networks. …”
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Les graphes pour étudier les dynamiques spatiales à partir des séries fiscales médiévales et modernes. Etat des lieux de l’expérience Modelespace by Samuel Leturcq, Romain Raveaux

“…From 2010 till 2012, the Modelespace program introduced a research to work out a methodology to analyse the spatial dynamics by leaving of the comparison between different sets of spatial data of fiscal documents of medieval and modern periods (fieldbooks and land registry, called cadastres, catasti, compoix, estimes… in southern Europe) with the graph theory. We explain the significant advances of the methodology, and we propose different ways to establish the comparison method of the graphs.…”
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On Some Properties of Multiplicative Topological Indices in Silicon-Carbon by Abid Mahboob, Sajid Mahboob, Mohammed M. M. Jaradat, Nigait Nigar, Imran Siddique

“…The use of graph theory can be visualized in nanochemistry, computer networks, Google maps, and molecular graph which are common areas to elaborate application of this subject. …”
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Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph by Ch. Ramprasad, P. L. N. Varma, S. Satyanarayana, N. Srinivasarao

“…Computational intelligence and computer science rely on graph theory to solve combinatorial problems. Normal product and tensor product of an m-polar fuzzy graph have been introduced in this article. …”
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Distributed Finite-Time Consensus Control of Second-Order Multiagent Systems Subject to Communication Time Delay by Lingling Fan, Chengyan Wu

“…This paper studies the consensus problem of a second-order multiagent system (MAS) with fixed communication delay under the structure of leaderless and leader-following systems. By using graph theory and finite-time control scheme, a distributed control protocol is proposed for each agent to reach consensus in a finite time. …”
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Computing Edge Version of Resolvability and Double Resolvability of a Graph by Muhammad Ahmad, Zohaib Zahid, Tabasam Rashid, Juan Luis Garcia Guirao

“…The field of graph theory is extensively used to investigate structure models in biology, computer programming, chemistry, and combinatorial optimization. …”
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The Adjacency Matrix of One Type of Directed Graph and the Jacobsthal Numbers and Their Determinantal Representation by Fatih Yılmaz, Durmuş Bozkurt

“…Recently there is huge interest in graph theory and intensive study on computing integer powers of matrices. …”
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Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics by Wei Qian, Lei Wang

“…By employing a Lyapunov function and graph theory, a sufficient condition is presented for the global exponential consensus of the multiagent system. …”
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INVESTIGATION OF HYDRAULIC OPERATIONAL REGIMES OF CIRCULATING SYSTEM AT THERMAL POWER PLANT OF VOLZHSKY AUTOMOTIVE WORKS USING COMPUTER MODEL by V. V. Dikop, A. V. Bukhtiarov, A. G. Kovalenko, V. V. Kotov, V. A. Kudinov

“…The models simulates hydraulic processes by means of an iterated solution of a set of algebraic non-linear equations that is formed while using a graph theory The circulating system is considered as a unit in the model. …”
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Stanley Depth of the Edge Ideal of Extended Gear Networks and Application in Circuit Analysis by Guiling Zeng, Muhammad Mobeen Munir, Raheel Farooki, Muhammad Athar, Jia Bao Liu

“…Graph theory is widely used in power network analysis, complex network, and engineering calculation. …”
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Chemical Application of Topological Indices in Infertility Treatment Drugs and QSPR Analysis by Sobia Sultana

“…The main challenges faced by medical researchers while producing novel drugs are time commitment, amplified costs, creating a safety profile for the medications, reduced solubility, and a lack of experimental data. Chemical graph theory makes an important theoretical contribution to drug development and design by investigating the structural properties of molecules. …”
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Novel Applications of Intuitionistic Fuzzy Digraphs in Decision Support Systems by Muhammad Akram, Ather Ashraf, Mansoor Sarwar

“…Many problems of practical interest can be modeled and solved by using graph algorithms. In general, graph theory has a wide range of applications in diverse fields. …”
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Vertex-Edge-Degree-Based Topological Properties for Hex-Derived Networks by Ali Ahmad, Muhammad Imran

“…These topological descriptors intentionally associate certain physicochemical assets of the corresponding chemical compounds. Graph theory plays a very useful role in such type of research directions. …”
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