Extremal pentagonal chains with respect to the Kirchhoff index

Wensheng Sun and Yujun Yang

Applied Mathematics and Computation, 2023, vol. 437, issue C

Abstract: The resistance distance between any two vertices of a connected graph G is defined as the effective resistance between them in the electrical network constructed from G by replacing each edge of G with a unit resistor. The Kirchhoff index is a resistance distance-based topological index which plays an essential role in the study of quantitative structure-activity relationship (QSAR) and quantitative structure-property relationship (QSPR). In this paper, using techniques from electric network theory and graph theory, we characterize pentagonal chains with extermal Kirchhoff indices.

Keywords: Resistance distance; Kirchhoff index; Pentagonal chain; S,T-isomers (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:437:y:2023:i:c:s0096300322006087

DOI: 10.1016/j.amc.2022.127534

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