Each of the graphs corresponds to a group of objects and their connections, with one object indicated:
- Monopoly board (Boardwalk)
- US States (Arkansas)
- Pokemon Effectiveness (Rock type)
- Glucose molecule (Oxygen)
- Australian states/territories (Northern Territory)
- Ticket to Ride (Portland)
- Risk (Indonesia)
- South America (Ecuador)
- Rock Paper Scissors Lizard Spock (Rock)
- Clue/Cluedo (Conservatory)
- Canadian Provinces (Yukon Territory)
Their acrostic spells the answer, BARON PIERCY
.