Abstract: A total dominating set T of a connected graph is a total split dominating set, if
the induced subgraph is disconnected. The total split
domination number of G
is the minimum cardinality of a total split dominating set of G.
In this paper, some of the properties of this new parameter are developed.
Keywords and phrases: dominating set, split dominating set, total dominating set, total split dominating set.
