Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 Articles in Press 2025 07 19 Relation between $ABS$ index with some other topological indices 14994 10.22049/cco.2025.30348.2429 EN Artes Rosalio Jr. Department of Mathematics, College of Arts and Sciences, Mindanao State University - Tawi-Tawi College of Technology and Oceanography, 7500 Bongao, Tawi-Tawi, Philippines School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia 0000-0002-9087-3248 R.U. Gobithaasan School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia Hasni Roslan Special Interest Group on Modelling and Data Analytics (SIGMDA), Faculty of Computer Science and Mathematics, Universiti Malaysia Terengganu, 21030 UMT Kuala Nerus, Terengganu, Malaysia N. Jafari Rad Department of Mathematics, Shahed University, Tehran, Iran Journal Article 2025 02 12 The study of atom-bond sum-connectivity index emerged recently as a variant of atom-bond connectivity index by replacing the product in the denominator in each of the fractions corresponding to every edge by the sum of the degrees. In this paper, we established relationships between the $ABS$ index with some other existing degree-based topological indices in terms of minimum degree and maximum degree of the graph. https://comb-opt.azaruniv.ac.ir/article_14994_e1629017659c410e44bc6d27bf541ecd.pdf