Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars by Aqsa Sattar, Muhammad Javaid, Ebenezer Bonyah

“…The field of graph theory is broadly growing and playing a remarkable role in cheminformatics, mainly in chemistry and mathematics in developing different chemical structures and their physicochemical properties. …”
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Location Strategy for Traffic Emission Remote Sensing Monitors to Capture the Violated Emissions by Mahmoud Owais

“…The problem is formulated into a graph theory problem, and then a novel adapted metaheuristic algorithm is used to solve the problem. …”
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Topological Attributes of Silicon Carbide SiC4-IIi,j Based on Ve-Degree and Ev-Degree by Abid Mahboob, Dalal Alrowaili, Sajid Mahboob Alam, Rifaqat Ali, Muhammad Waheed Rasheed, Imran Siddique

“…Recently, two terms, ev-degree- and ve-degree-based TIs, have been defined in chemical graph theory. In this paper, we have estimated degree-based TIs, namely, ev-degree Zagreb M type index, ev-degree Randic R index, ve-degree atom-bond connectivity ABC index, ve-degree geometric arithmetic index GA, ve-degree harmonic H index, and ve-degree sum-connectivity index for SiC4-IIi,j.…”
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Reducing the Amount of Data for Creating Routes in a Dynamic DTN via Wi-Fi on the Basis of Static Data by Yulia Shichkina, Alexander Koblov

“…This article also demonstrates the use of fuzzy logic and graph theory for constructing routes.…”
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Modeling and Invulnerability Analysis of Multilayer Air Traffic Network considering Altitude Layer by Guangjian Ren, Yin Liu

“…By defining the association between the altitude layers and the waypoints, a multilayer air network model considering the altitude layer is constructed. Then, the line graph theory is used to redefine the nodes and edges, and the network is reconstructed to obtain a new single-layer one which is easy to calculate. …”
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Computation of Differential, Integral Operators and Quantitative Structure–Property Analysis of Boron α-Icosahedral Nanosheet by Khalil Hadi Hakami, Abdul Rauf Khan, Saad Amin Bhatti

“…Mathematical research on a graph’s structure yields a graph descriptor, a numerical measure. Chemical graph theory employs connectivity descriptors to analyze molecular structures, providing crucial insights into many chemical compounds’ chemical and biological characteristics. …”
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Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach by Yonggui Kao, Hamid Reza Karimi

“…We also provide a systematic method for constructing global Lyapunov function for these CSRDSNs by using graph theory. The new method can help to analyze the dynamics of complex networks. …”
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PROPERTIES OF UNIQUELY K-LIST COLORABLE COMPLETE SPLIT GRAPHS by Lê Xuân Hùng

“…Hammer, and these graphs have since received much attention in graph theory. In this paper, we characterize the properties of complete split graphs that are uniquely k-list colorable graphs.…”
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Some Properties on Estrada Index of Folded Hypercubes Networks by Jia-Bao Liu, Xiang-Feng Pan, Jinde Cao

“…In this paper, we establish the explicit formulae for calculating the Estrada index of the folded hypercubes networks FQn by deducing the characteristic polynomial of the adjacency matrix in spectral graph theory. Moreover, some lower and upper bounds for the Estrada index of the folded hypercubes networks FQn are proposed.…”
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Consensus Congestion Control in Multirouter Networks Based on Multiagent System by Xinhao Yang, Sheng Xu, Ze Li

“…Based on the analysis of the causes of congestion, the topology of multirouter networks is modeled based on the graph theory and the network congestion control problem is described as a consensus problem in multiagent systems. …”
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Numerical and Graphical Analysis of the Revan Topological Indices for Double Graph and Strong Double Graph of Alkanes by Vishu Kumar M., Siva Kumar Pathuri, Rekkala Shruthi, Indira A. K., Umair Khan, Shivani Sanjay Bishnani, Taseer Muhammad, Anjali Verma

“…Numerous large graphs may be constructed from smaller ones, and graph operations are important in many graph theory applications. Here, we investigate the double and the strong double graphs as two graph-theoretical procedures. …”
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Eccentricity-Based Topological Descriptors of First Type of Hex-Derived Network by Usman Babar, Asim Naseem, Hani Shaker, Mian Muhammad Zobair, Haidar Ali

“…Graph theory has made significant progress in mathematical chemistry and has gained a lot of traction among scientists due to its numerous applications in mathematical chemistry. …”
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Connectivity Index in Vague Graphs with Application in Construction by Huiqin Jiang, Yongsheng Rao

“…Connectivity index (CI) in graphs is a fundamental issue in fuzzy graph theory that has wide applications in the real world. …”
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Fault-Tolerant Partition Resolvability of Cyclic Networks by Kamran Azhar, Sohail Zafar, Agha Kashif, Michael Onyango Ojiema

“…Figuring resolving partition of the graph is an intriguing inquest in graph theory as it has many applications such as sensor design, compound classification in chemistry, robotic navigation, and Internet network. …”
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Modeling and Simulation of the Vibration Characteristics of the In-Wheel Motor Driving Vehicle Based on Bond Graph by Di Tan, Qiang Wang

“…Bond graph theory is applied to the modeling and analysis of the vibration characteristics of the in-wheel motor driving vehicle. …”
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On Computation of Recently Defined Degree-Based Topological Indices of Some Families of Convex Polytopes via M-Polynomial by Deeba Afzal, Farkhanda Afzal, Mohammad Reza Farahani, Samia Ali

“…Topological indices are of incredible significance in the field of graph theory. Convex polytopes play a significant role both in various branches of mathematics and also in applied areas, most notably in linear programming. …”
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The Kirchhoff Index of Hypercubes and Related Complex Networks by Jiabao Liu, Jinde Cao, Xiang-Feng Pan, Ahmed Elaiw

“…We firstly provided an exact formula for the Kirchhoff index of the hypercubes networks Qn by utilizing spectral graph theory. Moreover, we obtained the relationship of Kirchhoff index between hypercubes networks Qn and its three variant networks l(Qn), s(Qn), t(Qn) by deducing the characteristic polynomial of the Laplacian matrix related networks. …”
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Consensus Information Filtering for Large-Scale Systems with Application to Heat Conduction Process by Liguo Zhang, Ying Lyu

“…On diffusion processing, we fuse the common state estimations of the local information filters using consensus averaging algorithms and algebraic graph theory. Stability and performance analysis is provided for this distributed filtering algorithm. …”
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“Follow the Leader”: A Centrality Guided Clustering and Its Application to Social Network Analysis by Qin Wu, Xingqin Qi, Eddie Fuller, Cun-Quan Zhang

“…Within graph theory and network analysis, centrality of a vertex measures the relative importance of a vertex within a graph. …”
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The Principle of Mathematical Induction: Applications in Physical Optics by Joseph Ivin Thomas

“…In the contemporary university milieu, the demonstrative scheme is taught as part of a course in discrete mathematics, set theory, number theory, graph theory, group theory, game theory, linear algebra, logic, and combinatorics. …”
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