Further Results on Minimum Dominating Color Energy of Graphs

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2020 by IJMTT Journal
Volume-66 Issue-5
Year of Publication : 2020
Authors : Lahari H. M, Sophia Shalini G. B.
  10.14445/22315373/IJMTT-V66I5P508

MLA

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.