Perfect Outer-connected Domination in the Join and Corona of Graphs

Let 𝐺 be a connected simple graph. A dominating set 𝑆 ⊆ 𝑉(𝐺) is called a perfect dominating set of 𝐺 if each 𝑢 ∈ 𝑉 𝐺 ∖ 𝑆 is dominated by exactly one element of 𝑆. A set 𝑆 of vertices of a graph 𝐺 is an outer-connected dominating set if every vertex not in 𝑆 is adjacent to some vertex in 𝑆 and the su...

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Bibliographic Details
Main Authors: Enrico Enriquez, Valerie Fernandez, Teodora Punzalan, Jonecis Dayap
Format: Article
Language:English
Published: Center for Policy, Research and Development Studies 2016-12-01
Series:Recoletos Multidisciplinary Research Journal
Subjects:
Online Access:https://rmrj.usjr.edu.ph/rmrj/index.php/RMRJ/article/view/165