Roman Domination on Acyclic Permutation Graphs

Authors

  • Angshu Kumar Sinha Department of Mathematics, NSHM Knowledge Campus, Durgapur 713212
  • Sachchidanand Mishra Department of Mathematics, National Institute of Technology, Durgapur 713209
  • Akul Rana Department of Mathematics, Narajole Raj College, Paschim Medinipur 721211
  • Anita Pal Department of Mathematics, National Institute of Technology, Durgapur 713209

DOI:

https://doi.org/10.26713/jims.v9i3.772

Abstract

A function \(f : V\rightarrow[0, 1, 2]\) is said to be Roman dominating function on a graph \(G=(V, E)\) if the function \(f\) satisfies the condition that every vertex \(u\) for which \(f(u)=0\) has at least one neighboring vertex \(v\) with \(f(v)=2\). The weight of a Roman dominating function is the value \(f(V)=\sum\limits_{v\in V}{f(v)}\). The Roman domination number of \(G\) is the minimum weight of a Roman dominating function and is denoted by \(\gamma_{R}(G)\). In this paper we study the Roman domination number on acyclic permutation graphs.

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CITATION

How to Cite

Sinha, A. K., Mishra, S., Rana, A., & Pal, A. (2017). Roman Domination on Acyclic Permutation Graphs. Journal of Informatics and Mathematical Sciences, 9(3), 635–648. https://doi.org/10.26713/jims.v9i3.772

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Research Articles