Computing harmonic indices of series benzenoid Hk and hydrocarbons PAHk by use of cut method. (3rd October 2019)

• Record Type: Journal Article
• Authors: Faraji, Umm Kulthum; Alaeian, Mehdi; Golriz, Maryam; Gilani, Alireza
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 22:Number 7(2019)
• Page Start: 1249
• Page End: 1259
• Publication Date: 2019-10-03
• Subjects: 05c35 -- 05c07 -- 05c76; Molecular graph -- harmonic index -- benzenoid series Hk -- Polycyclic Aromatic Hydrocarbons PAHk -- Cut Method -- Orthogonal cut; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2019.1688967
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: Let G = ( V, E ) be a simple connected molecular graph with the vertex set V = V ( G ) and the edge set E = E ( G ). The second and third harmonic indices have been introduced as, where nu is the number of vertices of G lying closer to u and mu is the number of edges of G lying closer to u than to v . The goal of this paper is computing the harmonic indices of a class of benzenoid numelis: "Circumcoronene series of benzenoid Hk " and "Polycyclic Aromatic Hydrocarbons PAHk " for all positive integer number k .