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

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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