journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-2059 The Wiener index of some algebraic graphs and some applications Salah Woroodm.alkhalide@uokufa.edu.iq Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Kufa, Al-Najaf, 540011, Iraq Al-Janabi Haneen Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Kufa, Al-Najaf, 540011, Iraq Mehdi Hussein Jeddoa Department of Mathematics, Iraq Breeding Al-Marbd Central Preparatory School, Ministry of Education, The General Directorate for Al-Najaf Alashraf, Al-Najaf, 54001, Iraq Ameen Hayder Baqer Department of Mathematics, Faculty of Computer Sciences and Mathematics, University of Kufa, Kufa, Al Najaf, 540011, Iraq Kadham Shaymaa Maki Department of Mathematics, Faculty of Computer Sciences and Mathematics, University of Kufa, Kufa, Al Najaf, 540011, Iraq 28 2 429 437 21 03 2025

In mathematical chemistry, we periodically use the graphs. In particular, the vertex in G is refers to the atom in a molecule, and the edge is refers to the bonds. The main object is to study the characteristics of model’s graph. In our work, we discuss the Wiener index of some algebraic graph (Cayley graph and Dihedral Graph). Moreover, we have given a particular example of Wiener index for the structure of tecovirimat and the structure of cidofovir. Finally, the relationship between the Wiener index BO and boiling point WI is found for the data is approximated by BO = 181(WI)0.1775, where the boiling point of a family of hydrocarbons, by using model’s graph of the molecules.

 Wiener index Cayley graph Dihedral graph access open retracted no