Doubly-Connected Dominating Energy of Graphs


Shailaja S. Shirkol, Preeti B. Jinagouda, A. R. Desai
Department of Mathematics, SDM College of Engineering and Technology Dharwad, Karnataka, India.


A connected dominating set D is said to be doubly-connected dominating set if the subgraph induced by the set V − D is connected. In this paper, we have defined a matrix called the doubly connected dominating matrix and obtained the the corresponding spectra and energy. Further, we have obtained the chemical applicability of the doubly connected energy followed by the mathematical properties.