Complement (music)

Combinatorics

Discrete mathematics

Phenotype

Graph

Computer network

Mathematics

Gene

Dominating set

Chemistry

Complementation

Hop (telecommunications)

Computer science

Vertex (graph theory)

Domination analysis

Biochemistry

European Journal of Pure and Applied Mathematics

A set S âŠ† V (G) is a hop dominating set of G if for each v âˆˆ V (G) \ S, there existsÂ w âˆˆ S such that dG(v, w) = 2. It is a global hop dominating set of G if it is a hop dominatingset of both G and the complementÂ of G. The minimum cardinality of a global hop dominatingset of G, denoted by Î³gh(G), is called the global hop domination number of G. In this paper, we study the concept of global hop domination in graphs resulting from some binary operations.Â

Global Hop Domination Numbers of Graphs