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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2025 Volume 18, Issue 6, Pages 749–755 (Mi jsfu1289)

Contextual approach to assessing the connectivity of two-terminal graphs

Aleksandr S. Losev

Institute for Apllied Mathematics, Far-Eastern Branch of Russian Academe of Sciences, Vladivostok, Russian Federation

Abstract: The paper discusses an original contextual approach to assessing the connectivity of a two-terminal graph, based on identifying dominant connections. The issue of changing the probability of connectivity of the entire graph is being solved by changing the capacity of the edges belonging to the set of dominant connections. Various methods for changing the connectivity probability of the graph under consideration are proposed, both from the standpoint of point and multiple impact on the selected edges. A comparative analysis of the proposed methods was carried out, and the appropriate conditions were determined to achieve maximum effect.

Keywords: contextual approach, connectivity, bipolar, dominant connections.

UDC: 519.178

Received: 13.06.2025
Received in revised form: 21.07.2025
Accepted: 24.08.2025

Language: English



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