The Journal of the Indian Mathematical Society

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Complementary Acyclic Domination in Graphs


Affiliations
1 Department of Planning, Bangalore-560 001, India
2 Department of Mathematics, Mysore University, Mysore-570 006, India
3 Department of Mathematics, Kristu Jayanti College, Bangalore-560 077, India
     

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Let G = (V, E) be a graph. A set D ⊆ V is said to be a complementary acyclic dominating set if every vertex in V - D is adjacent to some vertex in D and the induced subgraph (V - D) has no cycles. In this paper, we initiate a study of complementary acyclic domination and relate the complementary acyclic domination number with other domination parameters.

Keywords

Domination, Acyclic, Acyclic Domination.
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  • Complementary Acyclic Domination in Graphs

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Authors

B. Janakiram
Department of Planning, Bangalore-560 001, India
N. D. Soner
Department of Mathematics, Mysore University, Mysore-570 006, India
M. A. Davis
Department of Mathematics, Kristu Jayanti College, Bangalore-560 077, India

Abstract


Let G = (V, E) be a graph. A set D ⊆ V is said to be a complementary acyclic dominating set if every vertex in V - D is adjacent to some vertex in D and the induced subgraph (V - D) has no cycles. In this paper, we initiate a study of complementary acyclic domination and relate the complementary acyclic domination number with other domination parameters.

Keywords


Domination, Acyclic, Acyclic Domination.