On Computation and Analysis of Topological Index-Based Invariants for Complex Coronoid Systems by Muhammad Aamer Rashid, Sarfraz Ahmad, Muhammad Kamran Siddiqui, Mohammed K. A. Kaabar

“…In chemical graph theory, benzenoid systems are interrogated as they exhibit the chemical compounds known as benzenoid hydrocarbons. …”
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Research on Spatial and Dynamic Planning Methods for Settlement Buildings Based on Data Mining by Lin Chen, Xiaolong Chen, Hongxin Wang, Lin Zhu, Lingyun Lang

“…At the same time, the graph theory recognition method of grid pattern is proposed. …”
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Edge-Version of Fault-Tolerant Resolvability in Networks by Muhammad Faheem, Muhammad Ahmad, Zohaib Zahid, Muhammad Javaid, Mamo Abebe Ashebo

“…By adopting an edge-based perspective, this study advances fault tolerance analysis in graph theory and practical network design.…”
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Spectral Clustering-Guided News Environments Perception for Fake News Detection by Kun Wang, Yuzhen Yang, Xiaoyang Wang

“…We first leverage the graph theory-based spectral clustering approach to obtain the center-of-mass vectors and entropies to capture the complex associations and implicit evidences among the news on social media. …”
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A Comparative Study of Three Resolving Parameters of Graphs by Hafiz Muhammad Ikhlaq, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran

“…Graph theory is one of those subjects that is a vital part of the digital world. …”
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Development of path reservation for wheelchair users within a High-Activity train Station: A case study of SRT Red Line, Don Mueang Station, Bangkok, Thailand by Pakapon Ueasatchamongkhon, Somsiri Siewwuttanagul

“…Through comprehensive approaches, including the Graph Theory (Betweenness) in Urban Network Analysis (UNA) and path reservation based on principles of station accessibility, this study explores the relationship between congestion probability (Betweenness) in detailed origins and destinations, as well as kinematics for wheelchair users. …”
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The Temporal Pattern of a Lesion Modulates the Functional Network Topology of Remote Brain Regions by W. De Baene, G. J. M. Rutten, M. M. Sitskoorn

“…In this study, we compared resting-state functional connectivity data of patients with a slowly growing low-grade glioma (LGG) with that of patients with a faster-growing high-grade glioma (HGG). Using graph theory, we examined whether the tumour growth velocity modulated the functional network topology of remote areas, more specifically of the hemisphere contralateral to the lesion. …”
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Establishment of Trust in Internet of Things by Integrating Trusted Platform Module: To Counter Cybersecurity Challenges by Mohammad Faisal, Ikram Ali, Muhammad Sajjad Khan, Su Min Kim, Junsu Kim

“…In the end, we integrated the trusted platform module in the IOT architecture to establish the trust in IOT computing and to enhance the cybersecurity challenges and evaluated it with the help of mathematical/algorithms/graph theory/matrices and logical diagrams.…”
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Analysis of a Model for the Morphological Structure of Renal Arterial Tree: Fractal Structure by Aurora Espinoza-Valdez, Francisco C. Ordaz-Salazar, Edgardo Ugalde, Ricardo Femat

“…Here we deal with the analysis of a model recently proposed by Espinoza-Valdez et al. (2010) for the kidney vasculature developed via angiogenesis. The graph theory allows one to model quantitatively a vascular arterial tree of the kidney in sense that (1) the vertex represents a vessels bifurcation, whereas (2) each edge stands for a vessel including physiological parameters. …”
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Description of network meta-analysis geometry: A metrics design study. by Fernanda S Tonin, Helena H Borba, Antonio M Mendes, Astrid Wiens, Fernando Fernandez-Llimos, Roberto Pontarolo

“…We aimed to propose metrics adapted from graph theory and social network-analysis literature to numerically describe NMA geometry.…”
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3D Curvelet-Based Segmentation and Quantification of Drusen in Optical Coherence Tomography Images by M. Esmaeili, A. M. Dehnavi, H. Rabbani

“…The proposed algorithm consists of three parts: (1) preprocessing, which includes creating binary mask and removing possible highly reflective posterior hyaloid that is used in accurate detection of inner segment/outer segment (IS/OS) junction layer and Bruch’s membrane (BM) retinal layers; (2) coarse segmentation, in which 3D curvelet transform and graph theory are employed to get the possible candidate drusenoid regions; (3) fine segmentation, in which morphological operators are used to remove falsely extracted elongated structures and get the refined segmentation results. …”
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Resting-State fMRI Whole Brain Network Function Plasticity Analysis in Attention Deficit Hyperactivity Disorder by Yi Tang, Shuxing Zheng, Yin Tian

“…We used resting-state functional magnetic resonance imaging (rs-fMRI) based on the graph theory to explore the topology property changes of brain networks between an ADHD group and a normal group. …”
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A Local–Transit Percolation and Clustering-Based Method for Highway Segment Importance Ranking by Huizhe Lyu, Yang Li, Chenxu Liu, Zhonghao Li, Lin Xu, Wei Wang, Jun Chen

“…Initially, the highway network is constructed by Graph theory, and the k-means clustering method is applied considering each segment’s transit and local traffic flows. …”
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An Approach to the Geometric-Arithmetic Index for Graphs under Transformations’ Fact over Pendent Paths by Muhammad Asif, Hamad Almohamedh, Muhammad Hussain, Khalid M Alhamed, Abdulrazaq A. Almutairi, Sultan Almotairi

“…Graph theory is a dynamic tool for designing and modeling of an interconnection system by a graph. …”
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UAV-Enabled Inspection System With No-Fly Zones: DRL-Based Joint Mobile Nest Scheduling and UAV Trajectory Design by Jin Dai, Yunfei Gao, Chao Cai, Wei Xiong, Manjia Liu

“…The formulated problem is a multivariate mixed non-convex optimization problem (due to the presence of NFZs), which makes it challenging to address with conventional techniques such as successive convex approximation and graph theory. To solve these issues, we first model the proposed problem as a Markov decision process (MDP). …”
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Web search results processing in an information support system for decision-making processes by S. F. Lipnitsky, L. V. Stepura

“…Methods of set theory, graph theory and mathematical linguistics are used.Results. …”
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EEG reveals brain network alterations in chronic aphasia during natural speech listening by Ramtin Mehraram, Jill Kries, Pieter De Clercq, Maaike Vandermosten, Tom Francart

“…Differences in network geometry were assessed by means of graph theory and a targeted node-attack approach. Group-classification accuracy was obtained with a support vector machine classifier. …”
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Enhanced understanding of hydrological connectivity among lakes on the Qiangtang Plateau by Yunmei Li, Chang Huang, Ninglian Wang, Yun Chen, Shiqiang Zhang, Hongtao Duan

“…The multi-lake whole catchments are further categorized into three types: 89 single-linkage, 30 dendritic, and 25 convergent based on the cascading structures of them using graph theory. This provides a refined understanding of the hierarchical organization within the lake networks. …”
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Identifiability of mathematical models in medical biology by S. I. Kabanikhin, D. A. Voronov, A. A. Grodz, O. I. Krivorotko

“…In this review article, the following approaches are considered: the transfer function method applied to linear models (useful for analysis of pharmacokinetic data, since a large class of drugs is characterized by linear kinetics); the Taylor series expansion method applied to nonlinear models; a method based on differential algebra theory (the structure of this algorithm allows this to be run on a computer); a method based on graph theory (this method allows for analysis of the identifiability of the model as well as finding a proper reparametrization reducing the initial model to an identifiable one). …”
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Information support for decision making in problem situation description by S. F. Lipnitsky

“…Methods of set theory, probability theory and graph theory are used.Results. A mathematical model of user information support at the stage of describing a problem situation has been developed. …”
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