Title of article :
Maximum second Zagreb index of trees with given Roman domination number
Author/Authors :
Jamri ، Ayu Ameliatul Ahmad Special Interest Group on Modelling and Data Analytics (SIGMDA) - Faculty of Ocean Engineering Technology and Informatics - Universiti Malaysia Terengganu Informatics , Hasni ، Roslan Special Interest Group on Modelling and Data Analytics (SIGMDA) - Faculty of Ocean Engineering Technology and - Universiti Malaysia Terengganu Informatics , Jamil ، Muhammad Kamran Department of Mathematics - Riphah International University , Mojdeh ، Doost Ali Department of Mathematics - University of Mazandran
Abstract :
Chemical study regarding total -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
Journal title :
Transactions on Combinatorics
Journal title :
Transactions on Combinatorics
