Abstract
Topological properties of the co-authorship graph are considered as applied to the physical studies in Russia for 2012–2018. Objects of the study are two various weighted graphs; in the first one, edge weights correspond to the number of joint papers of two researchers; in the second one, weights are calculated by the technique accounting for the quality of journals in which joint papers are published. Based on an analysis of the PageRank centrality vector, it was shown that ranking of authors in the data of two graphs differs significantly. However, preferentially regularly published researchers annually become leaders in both graphs.
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Notes
The graph includes only researchers who had works in co-authorship with other researchers. If a researcher published papers only alone, he will not appear in the graph and these papers will not be taken into account in any way.
The graph centrality is understood as a certain method for ranking nodes over that (topology) assembly vertex on this of that importance criterion.
The left stochastic matrix is that in which the sum of elements in each column is unity.
The Kendall rank correlation coefficient for two ranking vectors reflects the degree of similarity of corresponding hierarchies of their components.
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Funding
This work was supported by the Ministry of Science and Higher Education, grant no. 05.601.21.0020 (the unique agreement identifier RFMEFI60119X0020) “Study of Mechanisms of the Adaptive Formation of the Personnel Potential for Performing Different-Scale Research Programs on Priority Directions of Scientific and Technological Development of the Russian Federation.”
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Translated by A. Kazantsev
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Ivanov, O.I., Kovalenko, A.M., Kolobov, A.V. et al. Topology of the Co-Authorship Graph in the Field of Physics in Russia. Bull. Lebedev Phys. Inst. 47, 223–227 (2020). https://doi.org/10.3103/S1068335620080060
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DOI: https://doi.org/10.3103/S1068335620080060