journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-2278 Investigation of some new results of entropy for titanium difluoride Naseer Muhammad Kamran Department of Mathematics, Lahore Leads University, Lahore, 54000, Pakistan Awaad Bushra Kadhum Department of Mathematics, College of Education for Pure Sciences, University of Kerbala, Karbala, 56001, Iraq Al-Iessa Hayder Abdulameer Yousif Department of Computer Engineering, Institute of Graduate Programs, Al-Turath University, Al Mansour, Baghdad, 10013, Iraq Zaki Muhammad Saqlain Department of Mathematics, Sahiwal Campus, COMSATS University Islamabad, Sahiwal, 57000, Pakistan Waheed Abdul Department of Mathematics, University of Peshawar, District Peshawar, Khyber-Pakhtunkhwa, 24840, Pakistan Kaushal Sumit Institute of Engineering and Technology, Centre for Research Impact & Outcome, Chitkara University, Rajpura, Punjab, 140401, India Saleh Zuhra Muter Department of Pharmacy, Al-Manara College For Medical Sciences, Maysan, 62006, Iraq Yousif Wissam Aziz Department of Medical Laboratories Technology, Nisour Seq. Karkh, Al-Nisour University College, Baghdad, 10013, Iraq Arshad Misbah Department of Mathematics, Sahiwal Campus, COMSATS University Islamabad, Sahiwal, 57000, Pakistan Farahani Mohammad Reza Department of Mathematics and Computer Science, Iran University of Science and Technology (IUST), Narmak, Tehran, 16844, Iran Alaeiyan Mehdi Department of Mathematics and Computer Science, Iran University of Science and Technology (IUST), Narmak, Tehran, 16844, Iran Cancan Murat Department of Mathematics, Faculty of Education, Yuzuncu Yil University, Van, Turkey 28 2 593 610 11 04 2025

In this study, we delve into the evaluation of graph entropy through the lens of topological properties inherent in crystallographic structures. Specifically, we focus on the crystallographic structure of TiF2[i,j,t] (Figure 1). By employing various topological indices to compute the entropies of TiF2[i,j,t]. This comprehensive approach allows for a deeper understanding of the entropy characteristics of this particular crystallographic structure, offering insights into its inherent properties.

 Entropy First zagreb index Second zagreb index Modified second zagreb index Augmented zagreb Index Hyper zagreb 2nd index Entropies of TiF2[i j t] crystallographic structure Entropy of TiF2[i j t] access open retracted no