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CALL FOR PAPERS : DEC-2018

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Call for Paper Vol-7 Iss-02 Feb-2018

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Published Vol-07 Iss-01 Jan-18

IJRET Volume-07 Issue-01, Jan-2018 is published now.

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BOUNDS ON INVERSE DOMINATION IN SQUARES OF GRAPHS

M. H. Muddebihal, Srinivasa G

Abstract: Let be a minimum dominating set of a square graph  . If ( ) -  contains another dominating set  of  , then  is called an inverse dominating set with respect to . The minimum cardinality of vertices in such a set is called an inverse domination number of  and is denoted by ( ). In this paper, many bounds on ( ) were obtained in terms of elements of . Also its relationship with other domination parameters was obtained

Keywords: Square graph, dominating set, inverse dominating set, Inverse domination number.

DOI: https://doi.org/10.15623/ijret.2013.0210086

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