On Relations between Atom-Bond Sum-Connectivity Index and other Degree-Based Indices
نویسندگان
1 Department of Mathematics, Manipal Institute of Technology Manipal Academy of Higher Education, Manipal, India -- 576104
2 Department of Mathematics, Manipal Institute of Technology Manipal Academy of Higher Education, Manipal, India -- 576104
3 Department of Mathematics, Manipal Institute of Technology Manipal Academy of Higher Education, Manipal, India -- 576104
4 Department of Mathematics, Manipal Institute of Technology Manipal Academy of Higher Education, Manipal, India -- 576104
doi
10.22052/ijmc.2024.254522.1842چکیده
The atom-bond sum-connectivity $(ABS)$ index is a novel vertex degree-based topological index defined recently as,$ABS(G)=\sum\limits_{i\simj}\sqrt{\frac{d_{i}+d_{j}-2}{d_{i}+d_{j}}}=\sum\limits_{i\sim j}\sqrt{1-\frac{2}{d_{i}+d_{j}}},$ 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.
