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Probability Techniques in Analysis and Algorithms on Networks
November 28, 2025 10:00–10:45, Plenary talks, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 201
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Kirchhoff index for circulant foliations of graphs
A. D. Mednykhab
a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract:
A new approach is presented for obtaining closed analytic formulas for the Kirchhoff index for circulant foliations of graphs. The simplest examples of such foliations are circulant graphs. More complex examples include prism graphs, sandwich graphs, discrete tori, and many others.
This paper derives explicit analytic formulas for the Kirchhoff index and studies their asymptotic behavior. Results are published in [1,2].
Language: English
References
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Russian Math. Surveys, 78:3 (2023), 501–548
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Siberian Math. J., 65:6 (2024), 1359–1372
* Zoom ID: 675-315-555, Password: mkn |
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