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The concept of inverse domination was introduced by Kulli V.R. and Sigarakanti S.C.  . Let D be a -set of G. A dominating set D 1 V-D is called an inverse dominating set of G with respect to D. The inverse domination number (G) is the order of a smallest inverse dominating set. Motivated by this definition we define another parameter as follows. Let D be a maximum independent set in G. An independent set S V-D is called an inverse independent set with respect to D. The inversedoi:10.5120/5687-7734 fatcat:ynifewxh2fd3nh4u7ly5ldqe6e