English

Minimum Roman Dominating Distance Energy of a Graph

Combinatorics 2022-04-01 v1 Information Theory math.IT

Abstract

In this correspondence, we introduced the concept of minimum roman dominating distance energy ERDd(G)E_{RDd}(G) of a graph GG 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).A_{RDd}(G). Finally, we derived the Upper and lower bounds for ERDd(G).E_{RDd}(G).

Keywords

Cite

@article{arxiv.2203.16805,
  title  = {Minimum Roman Dominating Distance Energy of a Graph},
  author = {Lakshmanan R and N. Annamalai},
  journal= {arXiv preprint arXiv:2203.16805},
  year   = {2022}
}