Computing Connection Distance Index of Derived Graphs

Faiz Farid, Muhammad Javaid, Ebenezer Bonyah and Ardashir Mohammadzadeh

Mathematical Problems in Engineering, 2022, vol. 2022, 1-15

Abstract: Distance based topological indices (TIs) play a vital role in the study of various structural and chemical aspects for the molecular graphs. The first distance-based TI is used to find the boiling point of paraffin. The connection distance (CD) index is a latest developed TI that is defined as the sum of all the products of distances between pair of vertices with the sum of their respective connection numbers . In this paper, we computed CD indices of the different derived graphs (subdivision graph SG, vertex-semitotal graph RG, edge-semitotal graph QG and total graph TG obtained from the graph G under various operations of subdivision in the form of degree distance (DD) and CD indices of the basic graphs including some other algebraic expressions.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1439177

DOI: 10.1155/2022/1439177

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