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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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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Analyzing and forecasting the dynamics of Internet resource user sentiments based on the Fokker–Planck equation by J. P. Perova, S. A. Lesko, A. A. Ivanov

“…During the research, stochastic modeling methods were used along with methods and models derived from graph theory, as well as tools and technologies of object-oriented programming for the development of systems for collecting data from mass media sources, and simulation modeling approaches.Results. …”
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The method of increasing the efficiency of the man-machine system functioning by improving the quality of decision support system software by О.В. Турінський, М.А. Павленко, Г.В. Пєвцов, С.В. Осієвський

“…For this purpose, a comprehensive plan is presented in the form of a relevance tree, built in accordance with the provisions of graph theory and the rank approach. The time complexity of the algorithms implementing the relevance tree tasks was evaluated. …”
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Multiplex Community Detection in Social Networks Using a Chaos-Based Hybrid Evolutionary Approach by Bagher Zarei, Bahman Arasteh, Mehdi Asadi, Vahid Majidnezhad, Saeid Taghavi Afshord, Asgarali Bouyer

“…Network analysis involves using graph theory to understand networks. This knowledge is valuable across various disciplines like marketing, management, epidemiology, homeland security, and psychology. …”
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The algebraic extended atom-type graph-based model for precise ligand–receptor binding affinity prediction by Farjana Tasnim Mukta, Md Masud Rana, Avery Meyer, Sally Ellingson, Duc D. Nguyen

“…This study introduces the AGL-EAT-Score, a scoring function that integrates extended atom-type multiscale weighted colored subgraphs with algebraic graph theory. This approach leverages the eigenvalues and eigenvectors of graph Laplacian and adjacency matrices to capture high-level details of specific atom pairwise interactions. …”
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Decoding HIV-associated neurocognitive disorders: a new perspective from multimodal connectomics by Zhongkai Zhou, Wei Wang, Hui Li, Ying Shi, Lingling Zhao, Yibo Lu, Xingchen Wei, Hongjun Li

“…Here, we start with the pathogenesis and risk factors of HAND, providing a comprehensive review of the basic concepts of unimodal and multimodal macro connectomics and related graph theory methods, and we review the latest progress in HAND connectomics research. …”
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Continuous and Discrete Similarity Coefficient for Identifying Essential Proteins Using Gene Expression Data by Jiancheng Zhong, Zuohang Qu, Ying Zhong, Chao Tang, Yi Pan

“…We then proposed the Pearson Jaccard coefficient (PJC) that consisted of continuous and discrete similarities in the gene expression data. Using the graph theory as the basis, we fused the newly proposed similarity coefficient with the existing network topology prediction algorithm at each protein node to recognize essential proteins. …”
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Abnormal alterations in structure-function coupling at the modular level in patients with postherpetic neuralgia by Zihan Li, Jian Jiang, Xiaofeng Jiang, Yangyang Xie, Jing Lu, Lili Gu, Shunda Hong

“…Moreover, the degree of impairment of graph theory indicators was significantly positively correlated with scales such as VAS scores, and the coupling of modules was significantly negatively correlated with the early course of the patient’s disease. …”
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Progress in the Application of Resting-State Functional Magnetic Resonance Imaging in Chronic Nonspecific Low Back Pain by XU Ting, XUE Qin, LÜ Ying, TU Jianchun, DAI Dechun

“…Common methods for functional integration mainly include Seed-based Functional Connectivity Analysis (SCA), Independent Component Analysis (ICA), and graph theory-based complex brain network analysis. These methods have their own characteristics and also have corresponding limitations. …”
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Altered Brain Structural Networks in Patients with Brain Arteriovenous Malformations Located in Broca’s Area by Maogui Li, Pengjun Jiang, Jun Wu, Rui Guo, Xiaofeng Deng, Yong Cao, Shuo Wang

“…In this study, we used diffusion tensor imaging and graph theory methods to investigate the alterations of brain structural networks in 14 patients with AVMs in the presumed Broca’s area, compared to 27 normal controls. …”
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Resistance Distance in Tensor and Strong Product of Path or Cycle Graphs Based on the Generalized Inverse Approach by Muhammad Shoaib Sardar, Xiang-Feng Pan, Dalal Alrowaili, Imran Siddique

“…Graph product plays a key role in many applications of graph theory because many large graphs can be constructed from small graphs by using graph products. …”
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Impaired network organization in mild age‐related hearing loss by Zhaopeng Tong, Chunhua Xing, Xiaomin Xu, Jin‐Jing Xu, Yuanqing Wu, Richard Salvi, Xindao Yin, Fei Zhao, Yu‐Chen Chen, Yuexin Cai

“…With resting‐state functional magnetic resonance imaging from 66 individuals with ARHL and 54 healthy controls, group spatial independent component analyses, sliding window analyses, graph‐theory methods, multilayer networks, and correlation analyses were used to identify ARHL‐induced disturbances in static and dynamic functional network connectivity (sFNC/dFNC), alterations in global network switching and their links to cognitive performances. …”
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