Minimum Roman Dominating Distance Energy of A Graph

R, Lakshmanan
N, Annamalai

Journal of the Indonesian Mathematical Society
VOLUME 29 NUMBER 3 (NOVEMBER 2023)

In this correspondence, we introduced the concept of minimum roman dominating distance energy ERDd(G) of a graph G and computed minimum roman dominating distance energy of some standard graphs. Also, we discussed the properties of eigenvalues of a minimum roman dominating distance matrix ARDd(G). Finally, we derived the upper and lower bounds for ERDd(G).