Let G = (V, E) be a graph. Let D be a minimum vertex covering of G. If V – D contains a vertex cover D’ of G, then D’ is called an inverse vertex cover with respect to D. The inverse vertex covering number
of G is the minimum cardinality of an inverse vertex cover of G. In this paper, we initiate a study of this new parameter and establish some results on this parameter.
V. R. Kulli and Dr. Radha Iyer R., “Inverse vertex covering number of a graph”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 15, pp. 389–393, 2012.