New Results on Second Inverse Sum Indeg Index
نویسندگان
1 Bishop Chulaparambil Memorial College, Kottayam-686001, India
2 Faculty of science, Mahallat Institute of Higher Education, Mahallat, Iran
3 Faculty of science, Mahallat Institute of Higher Education, Mahallat, Iran
4 Faculty of Science, University of Kragujevac, Kragujevac, Serbia
doi
10.22052/ijmc.2025.257454.2055چکیده
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.