Further Results on Minimum Dominating Color Energy of Graphs

**MLA Style:**Lahari H. M, Sophia Shalini G. B. "Further Results on Minimum Dominating Color Energy of Graphs" International Journal of Mathematics Trends and Technology 66.4 (2020):62-69.

**APA Style: **Lahari H. M, Sophia Shalini G. B.(2020).Further Results on Minimum Dominating Color Energy of Graphs International Journal of Mathematics Trends and Technology, 62-69.

**Abstract**

The energy of a graph G is the sum of the absolute values of eigenvalues of the adjacency matrix of the graph. The color energy of the graph G is the sum of the absolute values of the eigenvalues of the color matrix. Professor P. Siva Kota Reddy et al. introduced the concept of minimum dominating color energy of a graph. Motivated by this concept, in this paper, we compute the minimum dominating color energy for some families of graphs. We also find some color-hyper energetic families of graphs.

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**Keywords**

Minimum dominating set, minimum dominating color eigenvalues, minimum dominating color energy of a graph.