Current algorithms don't analyse graph after the move. Of course analysis of all opponent's answers is kind of such analysis. This is mass and blind approach though. Or better said "brutal force" analysis.
More beautifull way is to focus on most important. Analyse the graph after the move. It has to be defined whas is to be analysed. If obtained in this way information remains (like no access to own [or opponent's] goal) or not (like no idea what).