Maximum Second Zagreb Index Of Trees With Given Roman Domination Number

Author(s):

Ayu Ameliatul Ahmad Jamri , Roslan Hasni * , MuhammadKamran Jamil , Doost Ali Mojdeh

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Keywords:

The second Zagreb index , Domination Number , Roman domination number

Language:
English
Published:
Transactions on Combinatorics, Volume:12 Issue: 1, Mar 2023
Pages:
1 to 10
https://www.magiran.com/p2496228  
سامانه نویسندگان
  • Mojdeh، Doost Ali
    Author (4)
    Mojdeh, Doost Ali
    Professor Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, University of Mazandaran, بابلسر, Iran
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