International Journal of Mathematics Trends and Technology
Volume 68 | Issue 2 | Year 2022 | Article Id. IJMTT-V68I2P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I2P519
Let G = (V(G), E(G)) be a connnected simple graph. A subset S of V(G) is a dominating set of G if for every u ε V(G) \ S, there exists v ε S such that u,v ε E(G). A dominating set S is called a fair dominating set if for each distinct vertices u, v ε 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 give the characterizations in the join and corona of two graphs.
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Melodina D. Garol, Enrico L. Enriquez, Katrina E. Belleza, Grace M. Estrada, Carmelita M. Loquias, "Disjoint Fair Domination in the Join and Corona of Two Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 2, pp. 124-132, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I2P519
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