Split domination number

Split domination number --- расщепляемое доминирующее число.

A dominating set [math]\displaystyle{ D }[/math] of [math]\displaystyle{ G }[/math] is a split dominating set of [math]\displaystyle{ G }[/math], if the induced subgraph [math]\displaystyle{ \langle V(G) - D\rangle_{G} }[/math] is disconnected. The split domination number [math]\displaystyle{ \gamma_{s}(G) }[/math] of [math]\displaystyle{ G }[/math] is the minimum cardinality of a split dominating set of [math]\displaystyle{ G }[/math].