University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 13 1 2022 03 01 On the Difference of Atom-Bond Connectivity Index and Randić Index with Some Topological Indices 19 32 112016 10.22052/ijmc.2022.246069.1611 EN Roslan Hasni Special Interest Group on Modelling and Data Analytics (SIGMDA),‎ ‎ Faculty of Ocean Engineering Technology and Informatics,‎‎ University Malaysia Terengganu,‎‎ 21030 UMT Kuala Nerus,‎‎Terengganu, ‎ Malaysia Mohamad Nazri Husin Special Interest Group on Modelling and Data Analytics (SIGMDA),‎ ‎ Faculty of Ocean Engineering Technology and Informatics,‎‎ University Malaysia Terengganu,‎‎ 21030 UMT Kuala Nerus,‎‎Terengganu, ‎ Malaysia Fateme Movahedi Department of Mathematics,‎ Faculty of Science‎, ‎Golestan University,‎‎ Gorgan‎, ‎Iran 0000-0001-7863-7915 Rudrusamy Gobithaasan Special Interest Group on Modelling and Data Analytics (SIGMDA),‎ ‎ Faculty of Ocean Engineering Technology and Informatics,‎‎ University Malaysia Terengganu,‎‎ 21030 UMT Kuala Nerus,‎‎Terengganu, ‎ Malaysia Mohammad Hadi Akhbari Department of Mathematics,‎‎ Estahban Branch‎, ‎Islamic Azad University,‎ Estahban, ‎ Iran‎ Journal Article 2022 02 22 Assume denotes a connected and simple graph with edge set  <em>E</em>(<em>G</em>) as well as vertex set ‎<em>V</em>(<em>G</em>). ‎In chemical graph theory‎, ‎the atom-bond connectivity index, as well as the Randić index of graph are two well-defined topological indices‎. ‎In addition‎, ‎Ali and Du [On the difference between <em> ABC </em>and Randić indices of binary and chemical trees‎, <em>‎Int‎. ‎J‎. ‎Quantum Chem‎.</em> ‎(2017) e25446] recently unveiled the distinction between Randić and <em>ABC</em> indices‎. ‎In this report‎, ‎we study the link between the difference of Randić and <em>ABC</em> indices with certain well-studied topological indices‎.  https://ijmc.kashanu.ac.ir/article_112016_6e601265b209c1d8a83ff1f0e4fd48cb.pdf