Elementary formulas for kirchhoff index of mobius ladder and prism graphs

G. A. Baigonakova; A. D. Mednykh

doi:10.33048/SEMI.2019.16.117

Elementary formulas for kirchhoff index of mobius ladder and prism graphs

G. A. Baigonakova, A. D. Mednykh

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

Let G be a finite connected graph on n vertices with Laplacian spectrum 0 = λ₁ < λ₂ ≤... ≤ λ_n: The Kirchhoff index of G is defined by the formula The aim of this paper is to find an explicit analytical formula for the Kirchhoff index of Mobius ladder graph Mn = C2n(1; n) and Prism graph Prn = C_n x P₂. The obtained formulas provide a simple asymptotical behavior of both invariants as n is going to the infinity.

Язык оригинала	английский
Номер статьи	117
Страницы (с-по)	1654-1661
Число страниц	8
Журнал	Сибирские электронные математические известия
Том	16
DOI	https://doi.org/10.33048/SEMI.2019.16.117
Состояние	Опубликовано - 21 ноя 2019

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

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10.33048/SEMI.2019.16.117

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Цитировать

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abstract = "Let G be a finite connected graph on n vertices with Laplacian spectrum 0 = λ1 < λ2 ≤... ≤ λn: The Kirchhoff index of G is defined by the formula The aim of this paper is to find an explicit analytical formula for the Kirchhoff index of Mobius ladder graph Mn = C2n(1; n) and Prism graph Prn = Cn x P2. The obtained formulas provide a simple asymptotical behavior of both invariants as n is going to the infinity.",

keywords = "Chebyshev polynomial, Circulant graph, Kirchhoff index, Laplacian matrix, Wiener index, WIENER, circulant graph, RESISTANCE-DISTANCE",

author = "Baigonakova, {G. A.} and Mednykh, {A. D.}",

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Elementary formulas for kirchhoff index of mobius ladder and prism graphs. / Baigonakova, G. A.; Mednykh, A. D.

В: Сибирские электронные математические известия, Том 16, 117, 21.11.2019, стр. 1654-1661.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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KW - Laplacian matrix

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