What question did this study set out to answer?

This research aims to derive closed-form expressions for the Kirchhoff and Wiener indices of heptagonal networks using Laplacian matrices.

Spectral techniques to compute the Kirchhoff index and Wiener index of linear heptagonal cylindrical/Möbius networks

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Randomized trial computes Kirchhoff and Wiener indices in heptagonal networks, suggesting efficient graph design methods.

This research aims to derive closed-form expressions for the Kirchhoff and Wiener indices of heptagonal networks using Laplacian matrices.
Computed closed-form expressions for the Kirchhoff index and spanning trees of linear cylindrical heptagonal chains.
Analyzed the Laplacian spectrum to derive insights into graph structure and connectivity.
Established relationships between Kirchhoff and Wiener indices to enhance understanding of graph parameters.
Achieved analytical formulations for the Kirchhoff index and resistance distance calculations, improving efficiency.
Demonstrated significant relationships between Kirchhoff and Wiener indices in heptagonal networks.
Contributed to the development of spectral graph theory with insights applicable to complex network analysis.

Ahmad et al. (2026) studied this question.

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