Vertex-Degree Based Topological Indices of Graphene. (21st April 2022)

• Record Type: Journal Article
• Authors: Rada, Juan
• Is Part Of: Polycyclic aromatic compounds. Volume 42:Number 4(2022)
• Page Start: 1524
• Page End: 1532
• Publication Date: 2022-04-21
• Subjects: Benzenoid system -- extremal value -- graphene -- VDB topological index; Polycyclic aromatic compounds -- Periodicals; 547
• DOI: 10.1080/10406638.2020.1785897
• Languages: English
• ISSNs: 1040-6638

Abstract

Abstract: A vertex-degree-based (VDB, for short) topological index φ is defined for a graph G with n vertices as φ ( G ) = ∑ 1 ≤ i ≤ j ≤ n − 1 m i, j ( G ) φ ( i, j ), where m i, j = m i, j ( G ) is the number of edges of G joining a vertex of degree i with a vertex of degree j, and { φ ( i, j ) } is a set of real numbers. In this paper, we present a general formula to calculate VDB topological indices of graphene systems. As a byproduct, we solve the following extremal value problem: given a VDB topological index φ, find the graphene with maximal value of φ and the graphene with minimal value of φ, among all graphene with h hexagons.