aspg-21-377-1791468631 20261008141031 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 5 1 M. Mullai Department of Mathematics(DDE), Alagappa University, Karaikudi, Tamilnadu, India Said Broumi Laboratory of Information processing, Faculty of Sciences , Ben M’SiK, University Hassan II,B.P 7955, Sidi Othman, Casablanca, Morocco Dominating energy of graphs plays a vital role in the field of application in energy. Results by applying neutrosophic graph theory is more efficient than other existing methods. So, dominating energy of neutrosophic graphs will also give more accurate results than other exixting methods in the field of energy. This article introduces dominating energy of neutrosophic graphs. Dominating energy of a neutrosophic graph, dominating neutrosophic adjacency matrix, eigen values for the dominating energy of a neutrosophic graphs and complement of neutrosophic graphs are defined with examples. Also, dominating energy in union and join operations of neutrosophic graphs are developed and some theorems in dominating energy of a neutrosophic graphs are derived here. 2020 38 58 377 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.050104 https://www.americaspg.com/journal/21/article/377 https://www.americaspg.com/storage/853.pdf