On resolving total dominating set of sunlet graphs

Autor: R S R Ervani, Dafik, I. M. Tirta, Robiatul Adawiyah, Ridho Alfarisi
Rok vydání: 2021
Předmět:
Zdroj: Journal of Physics: Conference Series. 1832:012020
ISSN: 1742-6596
1742-6588
DOI: 10.1088/1742-6596/1832/1/012020
Popis: The set D ⊆ V(G) is called dominating set on graph G so that every vertex not in D is adjacent to at least one vertex in D. The set Dt ⊆ V(G) is called total dominating set on graph G so that the vertex in Dt are neighboring at least one dot in Dt . The smallest cardinality of the total dominating set is referred to as total domination number. The total domination number in G is shown by γt (G). The set of vertex Dt ⊆ V(G) is resolving total dominating set from G if the vertex representation u,υ ∈ V(G) with respect to x ∈ Dt is r(υ|Dt ) so that r(υ|Dt ) ≠ r(u|Dt ). The smallest cardinality of Resolving total dominating set in G is shown by γrt (G). In this article, we provide the results of the study for the differentiating number of total dominance from sunlet graphs.
Databáze: OpenAIRE