Total domination subdivision number

Total domination subdivision number --- число подразбиений тотального доминирования.

The total domination subdivision number [math]\displaystyle{ sd_{\gamma_{t}}(G) }[/math] is the mini\-mum number of edges that must be subdivided (where each edge in [math]\displaystyle{ G }[/math] can be subdivided at most once) in order to increase the total domination number.