Final answer:
The outline with pictures on a detective's wall in TV shows is known as an investigation map or suspect board, serving as a visual aid to connect the dots in a complex case.
Step-by-step explanation:
The outline that TV shows often depict on the wall, which includes pictures of everyone involved in a detective's case, is typically referred to as an investigation map. Sometimes, this might also be called a suspect board or an evidence board, although the last term may also refer to physical evidence rather than pictures and notes about persons of interest. An investigation map is a visual aid that helps detectives piece together the relationships and timelines in a complex case. It often includes photographs, notes, strings or lines connecting different pieces of information, and markers to indicate the status of individuals (e.g., suspect, witness, victim).