On the Multiplicative Sum Zagreb Index of Molecular Trees With Given Order and Number of Branching Vertices
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.
Authors
- Sadia Noureen (ORCID: https://orcid.org/0000-0002-9784-5880)
- Jaya Percival Mazorodze (ORCID: https://orcid.org/0000-0002-0354-8691)
- Taher S. Hassan (ORCID: https://orcid.org/0000-0003-2907-3353)
- Mustafa Abbas
- Akbar Ali (ORCID: https://orcid.org/0000-0001-8160-4196)
- Abdulaziz Mutlaq Alotaibi (ORCID: https://orcid.org/0009-0009-1636-4486)
Institutions
- Prince Sattam Bin Abdulaziz University (SA)
- University of Zimbabwe (ZW)
- Mansoura University (EG)
- Jadara University (JO)
- University of Ha'il (SA)
- University of Gujrat (PK)
Publication Details
- Journal
- Journal of Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1155/jom/5566504
- Primary Topic
- Graph theory and applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Prince Sattam bin Abdulaziz University