Abstract: In this paper, a new domination number called total strong litact domination number is defined on a graph and values of the defined variant to standard graphs, general graphs, trees etc., are acquired and endeavoured to raise a association among the total strong litact domination number of a litact graph of G with distinct parameters of G and also with additional domination parameters of G.
Subject classification number: AMS-05C69, 05C70.

Keywords: graph, Litact graph, Litact domination number, total strong litact domination number.

| DOI: 10.17148/IARJSET.2022.9140