More on Perfect Roman Domination in Graphs

Authors

  • Leonard Mijares Paleta University of Southern Mindanao
  • Ferdinand Paler Jamil Mindanao State University-Iligan Institute of Technology

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i3.3763

Keywords:

Roman dominating function, perfect Roman dominating function, Roman domination number, perfect Roman domination number

Abstract

A perfect Roman dominating function on a graph G = (V (G), E(G)) is a function f : V (G) → {0, 1, 2} for which each u ∈ V (G) with f(u) = 0 is adjacent to exactly one vertex v ∈ V (G) with f(v) = 2. The weight of a perfect Roman dominating function f is the value ωG(f) = Pv∈V (G) f(v). The perfect Roman domination number of G is the minimum weight of a perfect Roman dominating function on G. In this paper, we study the perfect Roman domination numbers of graphs under some binary operation

Author Biographies

  • Leonard Mijares Paleta, University of Southern Mindanao
    Mathematics Department Associate Professor
  • Ferdinand Paler Jamil, Mindanao State University-Iligan Institute of Technology
    Mathematics and Statistics Department, Professor

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Published

2020-07-31

Issue

Vol. 13 No. 3: (July 2020)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

More on Perfect Roman Domination in Graphs. (2020). European Journal of Pure and Applied Mathematics, 13(3), 529-548. https://doi.org/10.29020/nybg.ejpam.v13i3.3763