International Journal of Mathematics Trends and Technology
Volume 67 | Issue 8 | Year 2021 | Article Id. IJMTT-V67I8P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I8P518
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 fair dominating set if for each distinct vertices u. v ∈ V(G) \ S, | NG(u)∩ S| = |NG(v)∩S|. Further, if D is a minimum fair dominating set of G, then a fair dominating set S ⊆ V(G) \ D is called an inverse fair dominating set of G with respect to D. A disjoint fair dominating set of G is the set C = D ∪ S ⊆ V(G). In this paper, we investigate the concept and give some important results.
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Melodina D. Garol, Enrico L. Enriquez, "Disjoint Fair Domination in Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 8, pp. 157-163, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I8P518
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