Zagreb indices and Zagreb coindices of the line graphs of the subdivision graphs. (17th August 2020)

• Record Type: Journal Article
• Authors: Saidi, Nur Hafiza Azwani Mohd; Husin, Mohamad Nazri; Ismail, Nur Baini
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 23:Number 6(2020)
• Page Start: 1253
• Page End: 1267
• Publication Date: 2020-08-17
• Subjects: 05C12 -- 05C90; Zagreb indices -- Zagreb coindices -- Polyphenylene dendrimer -- Line graphs -- subdivision graphs; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2020.1816695
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: A graph invariant is one of the tools of topological indices used in chemical graph theory. Recently, most of chemist study in Zagreb indices and Zagreb coindices related to the connectivity of atom in molecular graph. Represented as graph, G . In this paper, we study two families of Polyphenylene dendrimers, namely D 1 [ n ] and D 2 [ n ]. We also compute their topological indices, Zagreb indices and Zagreb coindices based on the concept of the line graphs of the subdivision graphs. Furthermore, we give closed analytical results of these indices for graphs D 1 [ n ] and D 2 [ n ].