The Journal of the Indian Mathematical Society

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The Double Global Domination Number of a Graph


Affiliations
1 Department of Mathematics, University of Mysore, Manasagangothri, Mysore-570006, India
2 Department of Planning (PFRD), M.S. Building, Bangalore-560001, India
     

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Let G=(V, E) be a graph. A double dominating set D of G is a double global dominating set, if D is also a double dominating set of ¯G. The double global domination number γdg(G) of G is the minimum cardinality of a double global dominating set of G. In this paper, a study on this new parameter is initiated.

Keywords

Domination, Double Domination, Global Domination.
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  • The Double Global Domination Number of a Graph

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Authors

N. D. Soner
Department of Mathematics, University of Mysore, Manasagangothri, Mysore-570006, India
B. Chaluvaraju
Department of Mathematics, University of Mysore, Manasagangothri, Mysore-570006, India
B. Janakiram
Department of Planning (PFRD), M.S. Building, Bangalore-560001, India

Abstract


Let G=(V, E) be a graph. A double dominating set D of G is a double global dominating set, if D is also a double dominating set of ¯G. The double global domination number γdg(G) of G is the minimum cardinality of a double global dominating set of G. In this paper, a study on this new parameter is initiated.

Keywords


Domination, Double Domination, Global Domination.