The present manuscript is aimed to put before a diverse domination variant namely Restrained domination number on a graph on the litact graph. we calculated some particular values of the defined variables for the graph families like Wheel, Cycle, Path, Complete, Bi partite graphs etc., Further a set of theorems were proved which includes some relations of the defined parameters in terms of the graph variables like order, size, the extreme values of edge and vertex degree, covering number of vertex and edge, vertex and edge independence number, domination/total/ connected domination number etc.,

Litact graph, Litact domination number, restrained litact domination number