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

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

Journal of Mathematics, 2025, vol. 2025, 1-7

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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5566504

DOI: 10.1155/jom/5566504

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