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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Research on（t，k）-diagnosability for augmented cube network under the comparison model by Jia-rong LIANG, Miao-jiang CHEN

“…Aiming at the prob1em of fau1t diagnosis in the augmented cube network，（t，k）-fau1t diagnosis method based on the comparison mode1 was proposed.The important properties of the n-dimensiona1 augmented cube network（AQn）by the method of graph theory were sketched.Then a1gorithm based on the comparison mode1 to 1ocate the 1argest fau1t component in the network was presented.Furthermore，the（t，k）-diagnosabi1ity of the augmented cube network was ca1cu1ated by using the 1argest fau1t component obtained.Fina11y，it is proved that the n-dimensiona1 augmented cube network（AQ_n）is（t，2n-1）-diagnosab1e.The resu1t shows that the（t，2n-1）-diagnosabi1ity of AQ _nis <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mrow> <msup> <mn>2</mn> <mrow> <mi>n</mi><mo>−</mo><mn>1</mn></mrow> </msup> <mo stretchy="false">(</mo><mn>2</mn><mi>n</mi><mo>−</mo><mn>2</mn><mo stretchy="false">)</mo><mtext>lb(</mtext><mn>2</mn><mi>n</mi><mo>−</mo><mn>3</mn><mo stretchy="false">)</mo></mrow> <mrow> <msup> <mrow> <mo stretchy="false">(</mo><mn>2</mn><mi>n</mi><mo>−</mo><mn>3</mn><mo stretchy="false">)</mo></mrow> <mn>2</mn> </msup> </mrow> </mfrac> </math></inline-formula>，which is much 1arger than 6n-17，the conditiona1 diagnosabi1ity of AQ_n.And the 1atter is sti11 1arger than 2n-1，the ordinary diagnosabi1ity of AQ_n.…”
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Multiscale Intermuscular Coupling Analysis via Complex Network-Based High-Order O-Information by Chang Yu, Qingshan She, Michael Houston, Tongcai Tan, Yingchun Zhang

“…We applied this framework to data collected from experiments on three different upper limb movements. Graph theory-based analysis revealed significant differences in muscle network connectivity across the various upper limb movement tasks. …”
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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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Topological Properties of Large-Scale Cortical Networks Based on Multiple Morphological Features in Amnestic Mild Cognitive Impairment by Qiongling Li, Xinwei Li, Xuetong Wang, Yuxia Li, Kuncheng Li, Yang Yu, Changhao Yin, Shuyu Li, Ying Han

“…Six cortical features (3 volumetric and 3 geometric features) were extracted for each participant, and brain abnormities in aMCI were identified by cortical network based on graph theory method. All the cortical networks showed small-world properties. …”
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Brain local structural connectomes and the subtypes of the medial temporal lobe parcellations by Zhensheng Li, Jie Ma, Hongmin Bai, Bingmei Deng, Jian Lin, Weimin Wang

“…The subtypes of the parahippocampal connectomes exhibited resemblances to those of the hippocampus.ConclusionWe have constructed the brain local connectomes of the MTL parcellations and acquired the network parameters to delineate the hubs distribution through graph theory analysis. The connectomes can be classified into different major subtypes, which were closely related to the functional connectivity.…”
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Altered individual-based morphological brain network in type 2 diabetes mellitus by Wang Yan, Ge Limin, Sun Zhizhong, Cao Zidong, Qiu Shijun

“…We constructed the networks using symmetric Kullback–Leibler (KL) divergence-based similarity (KLS) and calculated various global and nodal metrics based on graph theory to describe the topological properties of the networks. …”
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Parameter space exploration within dynamic simulations of signaling networks by Cristina De Ambrosi, Annalisa Barla, Lorenzo Tortolina, Nicoletta Castagnino, Raffaele Pesenti, Alessandro Verri, Alberto Ballestrero, Franco Patrone, Silvio Parodi

“…Similarly we offered a minimum of information about pathways and networks in graph theory, for a reader coming from the bio-medical sector. …”
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Action Video Game Experience Related to Altered Large-Scale White Matter Networks by Diankun Gong, Weiyi Ma, Jinnan Gong, Hui He, Li Dong, Dan Zhang, Jianfu Li, Cheng Luo, Dezhong Yao

“…Thus, understanding this relation is essential in assessing the influence of AVG experience on neural plasticity and using AVG experience as an interventional tool for impairments of WM networks. Using graph theory, this study analyzed WM networks in AVG experts and amateurs. …”
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Functional and effective EEG connectivity patterns in Alzheimer’s disease and mild cognitive impairment: a systematic review by Elizabeth R. Paitel, Christian B. D. Otteman, Mary C. Polking, Henry J. Licht, Kristy A. Nielson, Kristy A. Nielson

“…Of 1,344 initial matches, 124 articles were ultimately included in the systematic review.ResultsThe included studies primarily analyzed coherence, phase-locked, and graph theory metrics. The influence of factors such as demographics, design, and approach was integrated and discussed. …”
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The use of low-density EEG for the classification of PPA and MCI by Panteleimon Chriskos, Panteleimon Chriskos, Kyriaki Neophytou, Christos A. Frantzidis, Christos A. Frantzidis, Jessica Gallegos, Alexandros Afthinos, Chiadi U. Onyike, Argye Hillis, Panagiotis D. Bamidis, Kyrana Tsapkini, Kyrana Tsapkini

“…Utilizing the Relative Wavelet Entropy method, we derived (i) functional connectivity, (ii) graph theory metrics and extracted (iii) various energy rhythms. …”
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