+1  A: 

In some cases, it could mean the difference between a foreign key being allowed to be NULL or not.

In other cases it might be something you need to check via constraints or application code.

Unfortunately I'm unfamiliar with the notation used in the diagram you post so I can't tell you what it means there.

Lasse V. Karlsen
+2  A: 

If the child of the relationship (in the example above set as "classified"), is optional then the column is defined with the database as allowing null records. i.e set to NULL. This means that you can either specify no records as being linked from classified to category, or many records.

Calanus
"or many records" -> do we know from the dot that it permits a "many" relationship?
eggdrop
no - it is from the "crows feet" on the line that we know it is a many relationship. Actually looking at the diagram shows that category to classified is a many to many relationship.
Calanus