Further Results on Minimum Dominating Color Energy of Graphs

Lahari H. M; Sophia Shalini G. B.

doi:https://doi.org/10.14445/22315373/IJMTT-V66I5P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 5 | Year 2020 | Article Id. IJMTT-V66I5P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I5P508

Further Results on Minimum Dominating Color Energy of Graphs

Lahari H. M, Sophia Shalini G. B.

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.

Keywords

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

References

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Citation :

Lahari H. M, Sophia Shalini G. B., "Further Results on Minimum Dominating Color Energy of Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 5, pp. 62-69, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I5P508