Maximum Second Zagreb Index Of Trees With Given Roman Domination Number

Chemical study regarding total $\pi$-electron energy with respect to conjugated molecules has focused on the second Zagreb index of graphs. Moreover, in the last half-century, it has gotten a lot of attention. The relationship between the Roman domination number and the second Zagreb index is invest...

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Bibliographic Details
Main Authors: Ayu Ameliatul Ahmad Jamri, Roslan Hasni, Muhammad Kamran Jamil, Doost Ali Mojdeh
Format: Article
Language:English
Published: University of Isfahan 2023-03-01
Series:Transactions on Combinatorics
Subjects:
Online Access:https://toc.ui.ac.ir/article_26290_6aa308a9477fd4973448d54df8f36ff2.pdf
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Summary:Chemical study regarding total $\pi$-electron energy with respect to conjugated molecules has focused on the second Zagreb index of graphs. Moreover, in the last half-century, it has gotten a lot of attention. The relationship between the Roman domination number and the second Zagreb index is investigated in this study. We characterize the trees with the maximum second Zagreb index among those with the given Roman domination number.
ISSN:2251-8657
2251-8665