Repository logo
Davao del Sur State CollegeDSSCInstitutional Repository
 

04. DSSC External Publications (Journals, Books, Conference Proceedings)

Permanent URI for this communityhttps://hdl.handle.net/20.500.14578/1

Browse

Keyword: search.filters.keyword.Hop dominationSubject: search.filters.lcsh.Graph theory

Search Results

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Revisiting domination, hop domination, and global hop domination in graphs
    Salasalan, Gemma; Canoy, Sergio Jr. R. (New York Business Global, 2021)
    A set S ⊆ V (G) is a hop dominating set of G if for each v ∈ V (G) \ S, there exists w ∈ S such that dG(v, w) = 2. It is a global hop dominating set of G if it is a hop dominating set of both G and the complement G of G. The minimum cardinality of a hop dominating (global hop dominating) set of G, denoted by γh(G) (resp. γgh(G)), is called the hop domination (resp. global hop domination) number of G. In this paper, we give some realization results involving domination, hop domination, and global hop domination parameters. Also, we give a rectification of a result found in a recent paper of the authors and use this to prove some results in this paper.