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Computing Connection Distance Index of Derived Graphs

Author

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  • Faiz Farid
  • Muhammad Javaid
  • Ebenezer Bonyah
  • Ardashir Mohammadzadeh

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.

Suggested Citation

  • Faiz Farid & Muhammad Javaid & Ebenezer Bonyah & Ardashir Mohammadzadeh, 2022. "Computing Connection Distance Index of Derived Graphs," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-15, July.
    • Handle: RePEc:hin:jnlmpe:1439177
    DOI: 10.1155/2022/1439177
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