On the Cluj-Ilmenau index of a family of Benzenoid systems. (17th August 2020)

• Record Type: Journal Article
• Authors: Mohammed, Mohanad A.; AL-Mayyahi, Suad Younus A; Farahani, Mohammad Reza; Alaeiyan, Mehdi
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 23:Number 6(2020)
• Page Start: 1107
• Page End: 1119
• Publication Date: 2020-08-17
• Subjects: 05C12 -- 05C90; Omega polynomial -- Cluj-Ilmenau index -- Benzenoid systems -- Jagged-rectangle Ba, b; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2020.1809110
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: Let G be a simple connected molecular graph, with the vertex set and edge set denoted by V ( G ) and E ( G ) respectively, in which the vertices correspond to the atoms while the edges to the bonds of a covalently bonded molecule. The "Omega" Ω( G, x ) polynomial was defined by Diudea on the ground of quasi-orthogonal cut "qoc" edge strips. The Cluj-Ilmenau index CI ( G ) is defined on the above polynomial. In this study, we compute the Cluj-Ilmenau index of a family of Benzenoid Systems named: the Jagged-rectangle B a, b (∀ a, b ∈N).