An Investigation into the Trend Stationarity of Local Characteristics in Media and Social Networks
We studied the evolution of complex social networks over time. The elements of the networks are users, and the connections correspond to the interactions between them. At a particular moment in time, each node of a complex network has such characteristics as its degree, as well as the total degree o...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Systems |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-8954/10/6/249 |
| _version_ | 1797455182287601664 |
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| author | Sergei Sidorov Sergei Mironov Alexey Grigoriev Sophia Tikhonova |
| author_facet | Sergei Sidorov Sergei Mironov Alexey Grigoriev Sophia Tikhonova |
| author_sort | Sergei Sidorov |
| collection | DOAJ |
| description | We studied the evolution of complex social networks over time. The elements of the networks are users, and the connections correspond to the interactions between them. At a particular moment in time, each node of a complex network has such characteristics as its degree, as well as the total degree of its neighbors. Obviously, in the process of network growth, these characteristics are constantly changing due to the fact that new edges are attached to this node or its neighbors. In this paper, we study the dynamics of these characteristics over time for networks generated on the basis of a nonlinear preferential attachment mechanism, and we find both the asymptotics of their expected values and the characteristics of their spread around the mean. In addition, we analyze the behavior of these local characteristics for three real social networks. The applicability of the findings to actual problems in the study of social media in the digital humanities is discussed. |
| first_indexed | 2024-03-09T15:47:50Z |
| format | Article |
| id | doaj.art-8f48404857944cea9a039feeb17353b4 |
| institution | Directory Open Access Journal |
| issn | 2079-8954 |
| language | English |
| last_indexed | 2024-03-09T15:47:50Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Systems |
| spelling | doaj.art-8f48404857944cea9a039feeb17353b42023-11-24T18:22:32ZengMDPI AGSystems2079-89542022-12-0110624910.3390/systems10060249An Investigation into the Trend Stationarity of Local Characteristics in Media and Social NetworksSergei Sidorov0Sergei Mironov1Alexey Grigoriev2Sophia Tikhonova3Faculty of Mathematics and Mechanics, Saratov State University, Saratov 410012, RussiaFaculty of Computer Science and Information Technology, Saratov State University, Saratov 410012, RussiaFaculty of Mathematics and Mechanics, Saratov State University, Saratov 410012, RussiaPhilosophy Department, Saratov State University, Saratov 410012, RussiaWe studied the evolution of complex social networks over time. The elements of the networks are users, and the connections correspond to the interactions between them. At a particular moment in time, each node of a complex network has such characteristics as its degree, as well as the total degree of its neighbors. Obviously, in the process of network growth, these characteristics are constantly changing due to the fact that new edges are attached to this node or its neighbors. In this paper, we study the dynamics of these characteristics over time for networks generated on the basis of a nonlinear preferential attachment mechanism, and we find both the asymptotics of their expected values and the characteristics of their spread around the mean. In addition, we analyze the behavior of these local characteristics for three real social networks. The applicability of the findings to actual problems in the study of social media in the digital humanities is discussed.https://www.mdpi.com/2079-8954/10/6/249social network analysiscomplex networksdigital humanitiesnonlinear preferential attachmentsocial networks |
| spellingShingle | Sergei Sidorov Sergei Mironov Alexey Grigoriev Sophia Tikhonova An Investigation into the Trend Stationarity of Local Characteristics in Media and Social Networks Systems social network analysis complex networks digital humanities nonlinear preferential attachment social networks |
| title | An Investigation into the Trend Stationarity of Local Characteristics in Media and Social Networks |
| title_full | An Investigation into the Trend Stationarity of Local Characteristics in Media and Social Networks |
| title_fullStr | An Investigation into the Trend Stationarity of Local Characteristics in Media and Social Networks |
| title_full_unstemmed | An Investigation into the Trend Stationarity of Local Characteristics in Media and Social Networks |
| title_short | An Investigation into the Trend Stationarity of Local Characteristics in Media and Social Networks |
| title_sort | investigation into the trend stationarity of local characteristics in media and social networks |
| topic | social network analysis complex networks digital humanities nonlinear preferential attachment social networks |
| url | https://www.mdpi.com/2079-8954/10/6/249 |
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