Work

On the Multiplicative Sum Zagreb Index of Molecular Trees With Given Order and Number of Branching Vertices

Year: 2025

Type: article

Abstract: The multiplicative sum Zagreb index of a graph G is defined as the product of the sum of the degrees of adjacent vertices of G . A molecular tree is an acyclic connected graph with maximum degree at most 4. A vertex in a molecular tree with degree 3 or 4 is referred to as a branching vertex. In this paper, we consider the class of all molecular trees of fixed order and with a given number of branching vertices and study the members of this class with the maximum value of the multiplicative sum Zagreb index.

Source: Journal of Mathematics

DOI: 10.1155/jom/5566504

Authors: Sadia Noureen, Mubashar Abbas, Abdulaziz Mutlaq Alotaibi, Jaya Percival Mazorodze, Taher S. Hassan, Akbar Ali