International Journal of Mathematics Trends and Technology
Volume 67 | Issue 8 | Year 2021 | Article Id. IJMTT-V67I8P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I8P519
Let G = (V(G), E(G)) be a connected simple graph. A subset S of V(G) is a dominating set of G if for every u ∈ V(G) \ S, there exists v ∈ S such that uv ∈ E(G). A dominating set S is called a restrained dominating set if for each u ∈ V(G)\S there exist v ∈ S and z ∈ V(G) \ S (z≠u) such that u is adjacent to v and z. A restrained dominating set S is called perfect restrained dominating set of G if each u ∈ V(G) \ S is dominating by exactly one element of S. Further, if D is a minimum perfect restrained dominating set of G, then a perfect restrained dominating set S ⊆ V(G) \ D is called an inverse perfect restrained dominating set of G with respect to D. In this paper, we investigate the concept and give some important results .
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Hanna Rachelle A. Gohil, Enrico L. Enriquez, "Inverse Perfect Restrained Domination in Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 8, pp. 164-170, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I8P519
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