On distance-based indices of regular dendrimers using automorphism group action

Uzma Ahmad, Muhammad Imran, Abdulaziz M. Alanazi, Rabia Yousaf, Saira Hameed

Research output: Contribution to journalArticlepeer-review


The various topological indices are helpful in predicting the bioactivity of molecular compounds in quantitative structure-activity relationship/quantitative structure-property relationship study. The Balaban index and Harary index are the distance-based indices. The sum-Balaban index is another variant of Balaban index. Harary index can be used to indicate the decay of interaction between any two atoms of molecules. Whereas, the Balaban and sum-Balaban indices can be linked with some physico-chemical properties of octanes and lower benzenoids. In this work, the closed expression of Balaban index, sum-Balaban index, and Harary index of some regular dendrimers in the form of parameter m are computed using the action of automorphism group of these dendrimers.

Original languageEnglish
Article number20220028
JournalMain Group Metal Chemistry
Issue number1
Publication statusPublished - Jan 1 2023


  • Balaban index
  • graph automorphism
  • regular dendrimer
  • sum-Balaban index

ASJC Scopus subject areas

  • General Chemistry
  • Condensed Matter Physics
  • Metals and Alloys
  • Materials Chemistry


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