New Results on Second Inverse Sum Indeg Index

Document Type : Research Paper

Authors

1 Faculty of science‎, ‎Mahallat Institute of Higher Education‎, ‎Mahallat‎, ‎Iran

2 Faculty of Science‎, ‎University of Kragujevac‎, ‎Kragujevac‎, ‎Serbia

3 Bishop Chulaparambil Memorial College‎, ‎Kottayam-686001‎, ‎India

10.22052/ijmc.2025.257454.2055

Abstract

‎The second inverse sum indeg topological index $(ISI_2)$ is considered as a valuable tool for the study of graphs and trees‎. This index is systematically investigated‎ for the first time‎, ‎and its upper and lower bounds are derived for general graphs and trees‎. ‎Furthermore‎, ‎comparisons between $ISI_2$ and other existing topological indices are presented‎. The results demonstrate that $ISI_2$ not only provides valuable insights into‎ the structure of graphs but also serves as a powerful instrument for modeling and‎ ‎analyzing complex networks‎, ‎particularly in chemistry and pharmacology‎. Specifically‎, ‎$ISI_2$ exhibits significant potential in predicting physicochemical‎ properties of molecules‎, ‎such as polarity‎, ‎boiling point‎, ‎and biological activity‎. ‎Thus‎, $ISI_2$ may serve for the design and optimization of novel drug molecules and chemical compounds‎.

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References

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Iranian Journal of Mathematical Chemistry
Volume 17, Issue 2
In Progress
June 2026
Pages 113-128

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