%0 Journal Article %T The inverse strong non-split r-domination number of a graph %A B.K. Ameenal %A R. Selvakumar %J International Journal of Engineering, Science and Technology %D 2010 %I %X In this paper, we define the notions of inverse strong non-split r-dominating set and inverse strong non-split r-domination number snsr(G) of a graph G. We characterize graphs for which snsr(G) + snsr(G) = n, where snsr(G) is the strong non-split r-domination number of G. We get many bounds on snsr(G). Nordhaus-Gaddum type results are also obtained for this new parameter. %K r-independent set %K r-dominating set %K strong non-split r-dominating set %K inverse strong non-split r-dominating set %K strong non-split r-domination number and inverse strong non-split r-domination number. %U http://www.ijest-ng.com/ijest-ng-vol2-no1-pp127-133.pdf