journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.1080/09720529.2022.2027605 Sharp upper bounds on forgotten and SK indices of cactus graph Alsinai Ammar Department of Studies in Mathematics, Mysuru 570006, Karnataka, University of Mysore, Manasagangotri, India Rehman Hafiz Mutee ur Department of Mathematics, Division of Science and Technology, Lahore, University of Education, Pakistan Manzoor Yasir Department of Mathematics, Division of Science and Technology, Lahore, University of Education, Pakistan Cancan Murat Faculty of Education, Zeve Campus, Tuşba, 65080, Van, Van Yuzuncu Yıl University, Turkey Taş Ziyattin Department of Mathematics, Bingol University, Turkey Farahani Moahmmad Reza Department of Mathematics, Narmak, Tehran 16844, Iran University of Science and Technology (IUST), Iran 26 1 281 302 24 02 2022

Sheehalli and Kanabur presented new forms of topological indices known as SK indices which have many applications in chemical graph theory towards QSPR/QSAR. A simple connected graph Γ is called a cactus graph if and only if any two cycles in the graph have no common edge. In this paper, we will explore and determine the sharp upper bounds of cactus graph using different versions of SK indices. We will also characterize the extremal properties for these indices due to many applications in pharmacology and medicinal chemistry.

 Topological index Chemical graph theory Cactus graph access open retracted no