I really like this saying by Corey Lanum:
Finding the relationships that should not be there is a great use case for Neo4j, and today I want to highlight an example of why. When you purchase something online, the merchant hands off your information to the payment gateway which processes your actual payment. Before they accept the transaction, they run it via series of risk management tests to validate that it is a real transaction and protect themselves from fraud. One of the hardest things for SQL based systems to do is cross check the incoming payment information against existing data looking for relationships that shouldn’t be there.