University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 15 4 2024 12 01 On Relations between Atom-Bond Sum-Connectivity Index and other Degree-Based Indices 283 295 114572 10.22052/ijmc.2024.254522.1842 EN Shetty Swathi Department of Mathematics‎, ‎Manipal Institute of Technology Manipal Academy of Higher Education, ‎Manipal‎, ‎India‎ -- ‎576104 ‎N‎. ‎V‎. ‎ Sayinath Udupa Department of Mathematics‎, ‎Manipal Institute of Technology Manipal Academy of Higher Education, ‎Manipal‎, ‎India‎ -- ‎576104 ‎B‎. ‎R‎. ‎Rakshith Department of Mathematics‎, ‎Manipal Institute of Technology Manipal Academy of Higher Education, ‎Manipal‎, ‎India‎ -- ‎576104 Laxmana Anusha Department of Mathematics‎, ‎Manipal Institute of Technology Manipal Academy of Higher Education, ‎Manipal‎, ‎India‎ -- ‎576104 Journal Article 2024 03 08 ‎The atom-bond sum-connectivity $(ABS)$ index is a novel vertex degree-based topological index defined recently as‎,<br />‎$ABS(G)=\sum\limits_{i\simj}\sqrt{\frac{d_{i}+d_{j}-2}{d_{i}+d_{j}}}=\sum\limits_{i\sim j}\sqrt{1-\frac{2}{d_{i}+d_{j}}},$ where $d_{i},d_{j}$ are degrees of vertices $i$ and $j$ respectively‎. ‎New findings linking the $ABS$-index to extensively researched topological indices are presented in this work. https://ijmc.kashanu.ac.ir/article_114572_d1c22589176c11738f73018864452f26.pdf