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

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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 нояб. 2019

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10.33048/SEMI.2019.16.117

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title = "Elementary formulas for kirchhoff index of mobius ladder and prism graphs",

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.}",

year = "2019",

month = nov,

day = "21",

doi = "10.33048/SEMI.2019.16.117",

language = "English",

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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

TY - JOUR

T1 - Elementary formulas for kirchhoff index of mobius ladder and prism graphs

AU - Baigonakova, G. A.

AU - Mednykh, A. D.

PY - 2019/11/21

Y1 - 2019/11/21

N2 - 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.

AB - 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.

KW - Chebyshev polynomial

KW - Circulant graph

KW - Kirchhoff index

KW - Laplacian matrix

KW - Wiener index

KW - WIENER

KW - circulant graph

KW - RESISTANCE-DISTANCE

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JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

M1 - 117

ER -

Elementary formulas for kirchhoff index of mobius ladder and prism graphs

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