%0 Journal Article
%T Maximum second Zagreb index of trees with given Roman domination number
%J Transactions on Combinatorics
%I University of Isfahan
%Z 2251-8657
%A Ahmad Jamri, Ayu Ameliatul Shahilah
%A Hasni, Roslan
%A Kamran Jamil, Muhammad
%A Mojdeh, Doost Ali
%D 2023
%\ 03/01/2023
%V 12
%N 1
%P 1-10
%! Maximum second Zagreb index of trees with given Roman domination number
%K The second Zagreb index
%K Domination Number
%K Roman domination number
%R 10.22108/toc.2022.128323.1848
%X 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.
%U https://toc.ui.ac.ir/article_26290_6aa308a9477fd4973448d54df8f36ff2.pdf