Publisher : Journal of Discrete Mathematical Sciences and Cryptography
Campus : Coimbatore
School : School of Engineering
Department : Mathematics
Year : 2007
Abstract : Let G=(V, E) be a graph. Let D be a minimum total dominating set of G. If V–D contains a total dominating set D’ of G, then D’ is called an inverse total dominating set with respect to D. The inverse total domination number of G is the minimum number of vertices in an inverse total dominating set of G. We initiate the study of inverse total domination in graphs and present some bounds and some exact values for . Also, some relationships between and other domination parameters are established.