@article{07d4e01728924a13ba3f509c35d3c2eb,
title = "Kirchhoff Index for Circulant Graphs and Its Asymptotics",
abstract = "The aim of this paper is to find an analytical formula for the Kirchhoff index of circulant graphs (Formula presented.) with even and odd valency, respectively. The asymptotic behavior of the Kirchhoff index as n → ∞ is investigated. We proof that the Kirchhoff index of a circulant graph can be expressed as a sum of a cubic polynomial in n and a quantity that vanishes exponentially as n → ∞.",
keywords = ": circulant graph, eigenvalue, Kirchhoff index, Laplacian matrix, Wiener index, circulant graph",
author = "Mednykh, {A. D.} and Mednykh, {I. A.}",
note = "Funding Information: This work was supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2020",
month = sep,
doi = "10.1134/S106456242005035X",
language = "English",
volume = "102",
pages = "392--395",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",
}