Computation of resistance distance with Kirchhoff index of body centered cubic structure

Sajjad, Wasim; Pan, Xiang-Feng; tul Ain, Qura

doi:10.1007/s10910-023-01573-6

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J Math Chem

2024

DOI: 10.1007/s10910-023-01573-6

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Computation of resistance distance with Kirchhoff index of body centered cubic structure

Wasim Sajjad,

Xiang-Feng Pan,

Qura tul Ain

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2024

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Cited by 2 publications

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On the Resistance Distance and Kirchhoff Index of $$K_n$$-chain(Ring) Network

Sun,

Sardar,

Yang

et al. 2024

Circuits Syst Signal Process

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On the Resistance Distance and Kirchhoff Index of $$K_n$$-chain(Ring) Network

Sun,

Sardar,

Yang

et al. 2024

Circuits Syst Signal Process

View full text Add to dashboard Cite

The minimal degree Kirchhoff index of bicyclic graphs

Mei,

Guo

2024

MATH

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<abstract><p>The degree Kirchhoff index of graph $ G $ is defined as $ Kf^{*}(G) = \sum\limits_{{u, v}\subseteq V(G)}d(u)d(v)r_{G}(u, v) $, where $ d(u) $ is the degree of vertex $ u $ and $ r_{G}(u, v) $ is the resistance distance between the vertices $ u $ and $ v $. In this paper, we characterize bicyclic graphs with exactly two cycles having the minimum degree Kirchhoff index of order $ n\geq5 $. Moreover, we obtain the minimum degree Kirchhoff index on bicyclic graphs of order $ n\geq4 $ with exactly three cycles, and all bicyclic graphs of order $ n\geq4 $ where the minimum degree Kirchhoff index has been obtained.</p></abstract>

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Computation of resistance distance with Kirchhoff index of body centered cubic structure

Cited by 2 publications

References 30 publications

On the Resistance Distance and Kirchhoff Index of $$K_n$$-chain(Ring) Network

On the Resistance Distance and Kirchhoff Index of $$K_n$$-chain(Ring) Network

The minimal degree Kirchhoff index of bicyclic graphs

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