Global dynamics of a general class of multi-group epidemic models with latency and relapse by Xiaomei Feng, Zhidong Teng, Fengqin Zhang

“….$ In particular, a matrix-theoretic method is used to provethe global stability of the disease-free equilibrium when $R_0\leq1,$while a new combinatorial identity (Theorem 3.3 in Shuai and vanden Driessche [29]) in graph theory is applied to provethe global stability of the endemic equilibrium when $R_0>1.…”
Get full text

Hosoya and Harary Polynomials of TOX(n),RTOX(n),TSL(n) and RTSL(n) by Lian Chen, Abid Mehboob, Haseeb Ahmad, Waqas Nazeer, Muhammad Hussain, M. Reza Farahani

“…In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. …”
Get full text

Efficient Hamiltonian encoding algorithms for extracting quantum control mechanism as interfering pathway amplitudes in the Dyson series by Erez Abrams, Michael Kasprzak, Gaurav Bhole, Tak-San Ho, Herschel Rabitz

“…This paper presents two new encoding algorithms that calculate the amplitudes of pathway classes by using techniques from graph theory and algebraic topology to exploit patterns in the set of allowed transitions, greatly reducing the number of matrix elements that need to be modulated. …”
Get full text

Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control by Shuaishuai Lv, Mian Pan, Xungen Li, Qi Ma, Tianyi Lan, Bingqiang Li, Wenyu Cai

“…The convergence conditions are proved using graph theory, fractional calculus, and λ norm theory. …”
Get full text

Valency-Based Descriptors for Silicon Carbides, Bismuth(III) Iodide, and Dendrimers in Drug Applications by Qi-Zhao Li, Abaid ur Rehman Virk, Kashif Nazar, Imran Ahmed, Iskander Tlili

“…This gray-black solid is the product of the reaction between bismuth and iodine, which once was of interest in qualitative inorganic analysis. In chemical graph theory, we associate a graph to a compound and compute topological indices that help us in guessing properties of the understudy compound. …”
Get full text

Z Specification of Gate and Apron Control Management at Airport by Nazir Ahmad Zafar, Fahad Alhumaidan, Sher Afzal Khan

“…An integration of gate and apron controllers is described to manipulate the information for correct decision making and flow management. Graph theory is used for representation of airport topology and appropriate routs. …”
Get full text

FitzHugh-Nagumo equations with generalized diffusive coupling by Anna Cattani

“…The formulation we are going to exploit is based on the general framework of graph theory.With the aim of defining the connection structure among the excitable elements, the discrete Laplacian matrix plays a fundamental role. …”
Get full text

Investigating Seidel energies and thermodynamic properties of benzenoid hydrocarbons through regression models by Rashad Ismail, Hafiz Muhammad Bilal, Kiran Naz, Sarfraz Ahmad, Muhammad Kamran Siddiqui, Mustafa Ahmed Ali

“…Our research broadens the scope of energy matrices in graph theory, with a particular emphasis on Sombor energy, reduced Sombor energy, average Sombor energy, Banhatti Sombor energy and reduced Banhatti Sombor energy. …”
Get full text

Theory and Application of Interval-Valued Neutrosophic Line Graphs by Keneni Abera Tola, V. N. Srinivasa Rao Repalle, Mamo Abebe Ashebo

“…The interval-valued neutrosophic graph is a fundamental issue in graph theory that has wide applications in the real world. …”
Get full text

Dynamic Modeling and Nonlinear Vibration Research of the Rotary Cutting Mechanism Based on Bond Graphs by Zhao Jiayi, Gao Yiyang, Zhao Changzhen, Rao Xiaobo, Ding Shunliang, Gao Jianshe

“…In this study, the dynamic model of the rotary cutting mechanism of a rotary pipe cutter is established based on the bond graph theory, the key dynamic parameters are determined by calculating the sensitivity, and the bifurcation mechanism of key parameters is revealed comprehensively by using the bifurcation diagram, the Lyapunov exponent diagram, the phase diagram and the time response diagram. …”
Get full text

A two-level resolution neural network with enhanced interpretability for freeway traffic forecasting by Semin Kwak, Danya Li, Nikolas Geroliminis

“…In particular, graph neural networks, which integrate graph theory into deep learning, have become popular for modeling traffic sensor networks. …”
Get full text

Topological indices and their correlation with structural properties of carbon nanotube Y-junctions by Khawlah Alhulwah, Ali N.A. Koam, Nasreen Almohanna, Muhammad Faisal Nadeem, Ali Ahmad

“…In this work, the calculation of the Balaban, Forgotten, and Zagreb indices for the four types of CNT Y-junctions is carried out using chemical graph theory. The obtained results clearly show that all these topological indices increase progressively across the different configurations of the Y-junctions, which evidences a direct relationship among the structural complexity and stability with their electronic properties.…”
Get full text

Efficient Computation of Shortest Paths in Networks Using Particle Swarm Optimization and Noising Metaheuristics by Ammar W. Mohemmed, Nirod Chandra Sahoo

“…This paper presents a novel hybrid algorithm based on particle swarm optimization (PSO) and noising metaheuristics for solving the single-source shortest-path problem (SPP) commonly encountered in graph theory. This hybrid search process combines PSO for iteratively finding a population of better solutions and noising method for diversifying the search scheme to solve this problem. …”
Get full text

Adaptive Fuzzy Consensus Tracking Control for Nonlinear Multiagent Systems with Time-Varying Delays and Constraints by Jie Lan, Tongyu Xu

“…Based on Lyapunov stability theory and algebraic graph theory, the constructed tracking control can ensure states within defined time-varying constraint bounds and eliminate the influence of time delays. …”
Get full text

Finite-Time Synchronization of Fractional-Order Complex-Valued Multi-Layer Network via Adaptive Quantized Control Under Deceptive Attacks by Lulu Xu, Juan Yu, Cheng Hu, Kailong Xiong, Tingting Shi

“…According to the finite-time theorem, Lyapunov function, and graph theory methods, some sufficient criteria for realizing finite-time synchronization in complex-valued fractional-order multi-layer networks have been obtained. …”
Get full text

Entire Irregularity Indices: A Comparative Analysis and Applications by Anwar Saleh, Samirah Alsulami, Maryam Alsulami

“…The findings of this study contribute significantly to the field of chemical graph theory by providing novel tools to understand and predict molecular behavior. …”
Get full text

Low-dimensional controllability of brain networks. by Remy Ben Messaoud, Vincent Le Du, Camile Bousfiha, Marie-Constance Corsi, Juliana Gonzalez-Astudillo, Brigitte Charlotte Kaufmann, Tristan Venot, Baptiste Couvy-Duchesne, Lara Migliaccio, Charlotte Rosso, Paolo Bartolomeo, Mario Chavez, Fabrizio De Vico Fallani

“…To overcome this issue, we introduced a framework that integrates principles from spectral graph theory and output controllability to project the network state into a smaller topological space formed by the Laplacian network structure. …”
Get full text

Advances and emerging research trends in maritime transport logistics: environment, port competitiveness and foreign trade by Paola Alzate, Gustavo A. Isaza, Eliana M. Toro, Jorge A. Jaramillo-Garzón

“…The PRISMA methodology, graph theory, and bibliometric indicators such as indegree, betweenness, and outdegree were employed to process the information related to maritime transportation logistics from the Scopus and Web of Science databases spanning from 2000 to 2022. …”
Get full text

Stock Market Temporal Complex Networks Construction, Robustness Analysis, and Systematic Risk Identification: A Case of CSI 300 Index by Xiaole Wan, Zhen Zhang, Chi Zhang, Qingchun Meng

“…Among the methodologies used in stock market research, the complex network as the extension of graph theory presents an edged tool for analyzing internal structure and dynamic involutions. …”
Get full text

Low-density parity-check representation of fault-tolerant quantum circuits by Ying Li

“…We outline the procedure for generating LDPC codes from circuits using the Tanner graph notation, alongside proposing graph-theory tools for constructing fault-tolerant quantum circuits from classical LDPC codes. …”
Get full text