Abstract:
We give a brief survey of the basic notions of the theory of complex networks and various models of activity spreading in networks. We consider the role of random graph theory for the study of complex networks, describe small world and scale-free networks, activity spreading models in social networks, percolation processes, the concept of self-organized criticality, and two versions of its formalization: cellular automata and the chip firing game. We note the common elements of all considered models.
This publication is cited in the following 19 articles:
L. Yu. Zhilyakova, O. P. Kuznetsov, “Modelirovanie neironov i ikh vzaimodeistvii. Obzor podkhodov i metodov”, UBS, 106 (2023), 6–51
Yue Liu, Lin Ding, ZhengWei Yang, XianYuan Ge, DaHui Liu, Wei Liu, Tao Yu, Maxim Avdeev, SiQi Shi, “Domain knowledge discovery from abstracts of scientific literature on Nickel-based single crystal superalloys”, Sci. China Technol. Sci., 66:6 (2023), 1815
Yanchao Liu, Pengzhou Zhang, Lei Shi, Junpeng Gong, “A Survey of Information Dissemination Model, Datasets, and Insight”, Mathematics, 11:17 (2023), 3707
Shan Liu, Hao Wen, 2023 16th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI), 2023, 1
Muzhen Guan, Yuanjun Xie, Chenxi Li, Tian Zhang, Chaozong Ma, Zhongheng Wang, Zhujing Ma, Huaning Wang, Peng Fang, “Rich-club reorganization of white matter structural network in schizophrenia patients with auditory verbal hallucinations following 1 Hz rTMS treatment”, NeuroImage: Clinical, 40 (2023), 103546
Hosseini S., Zandvakili A., “The Seirs-C Model of Information Diffusion Based on Rumour Spreading With Fuzzy Logic in Social Networks”, Int. J. Comput. Math., 99:9 (2022), 1918–1940
Hosseini S., Zandvakili A., “Information Dissemination Modeling Based on Rumor Propagation in Online Social Networks With Fuzzy Logic”, Soc. Netw. Anal. Min., 12:1 (2022), 34
Bazenkov N., “Heterogeneous Formal Neurons and Modeling of Multi-Transmitter Neural Ensembles”, Artificial Intelligence, Rcai 2021, Lecture Notes in Artificial Intelligence, 12948, eds. Kovalev S., Kuznetsov S., Panov A., Springer International Publishing Ag, 2021, 3–16
Tarassov V.B., Gapanyuk Yu.E., “Complex Graphs in the Modeling of Multi-Agent Systems: From Goal-Resource Networks to Fuzzy Metagraphs”, Artificial Intelligence, Lecture Notes in Artificial Intelligence, 12412, eds. Kuznetsov S., Panov A., Yakovlev K., Springer International Publishing Ag, 2020, 177–198
I. V. Matyushkin, M. A. Zapletina, “Obzor po tematike kletochnykh avtomatov na baze sovremennykh otechestvennykh publikatsii”, Kompyuternye issledovaniya i modelirovanie, 11:1 (2019), 9–57
L. Yu. Zhilyakova, N. A. Kuznetsov, V. G. Matiukhin, A. B. Shabunin, A. K. Takmazian, “Locomotive Assignment Graph Model for Freight Traffic on Linear Section of Railway. The Problem of Finding a Maximal Independent Schedule Coverage”, Autom Remote Control, 80:5 (2019), 946
L. Yu. Zhilyakova, N. A. Kuznetsov, V. G. Matyukhin, A. B. Shabunin, A. K. Takmazyan, “Grafovaya model raspredeleniya lokomotivov dlya gruzovykh perevozok na lineinom uchastke zheleznoi dorogi. Zadacha o maksimalnom po vklyucheniyu pokrytii grafika”, Probl. upravl., 3 (2018), 65–75
N. Bazenkov, V. Dyakonova, O. Kuznetsov, D. Sakharov, D. Vorontsov, L. Zhilyakova, “Discrete modeling of multi-transmitter neural networks with neuronal competition”, Biologically Inspired Cognitive Architectures (BICA) For Young Scientists, Advances in Intelligent Systems and Computing, 636, eds. A. Samsonovich, V. Klimov, Springer-Verlag, Berlin, 2018, 10–16
N. Bazenkov, D. Vorontsov, V. Dyakonova, L. Zhilyakova, I. Zakharov, O. Kuznetsov, S. Kulivets, D. Sakharov, “Discrete modeling of neuronal interactions in multi-transmitter networks”, Sci. Tech. Inf. Process., 45:5 (2018), 283–296
O. P. Kuznetsov, “Stationary ensembles in threshold networks”, Autom. Remote Control, 78:3 (2017), 475–489
V. Breer, D. Novikov, A. Rogatkin, Mob control: models of threshold collective behavior, Studies in Systems Decision and Control, 85, Springer, 2017, 134 pp.
J. Liu, K. Li, W. Zheng, Ch. Li, “Statistic characteristics analysis of railway hazard causation based on complex network”, Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application, AMMSA 2017, Advances in Intelligent Systems Research, 141, eds. B. Harish, A. Rojas, K. Weller, Atlantis Press, 2017, 218–221
V. V. Breer, “Models of tolerant threshold behavior (from T. Shelling to M. Granovetter)”, Automation and Remote Control, 78:7 (2017), 1304–1318
I. N. Barabanov, D. A. Novikov, “Dynamic models of mob excitation control in discrete time”, Autom. Remote Control, 77:10 (2016), 1792–1804
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