I don't know about that either. Graph DBs have been around a while and are ideal for relational data (you don't have to mess with tables and joins because everything is explicitly joined), but Web developers are just starting to realize their power.
If I am developing a website that uses the Facebook Graph API (http://developers.facebook.com/docs/reference/api/) or the Twitter API to store my users' friends and followers (and many modern auth systems are doing this), a graph database is ideal because you can use a graph query language like Gremlin (https://github.com/tinkerpop/gremlin/wiki) to do all sorts of cool stuff, like find a user's friends of friends:
g.v(user_id).outE('friend').inV.outE('friend').inV
This says for the graph database "g":1. Start at the vertex for the user_id
2. Follow the outgoing edges labeled "friend" to the incoming vertices (these incoming vertices are the user's friends)
3. From the user's friends, follow the outgoing edges to the incoming vertices one more time to get their friends.
This is so much simpler than messing with joins in a relational database, and it's much more performant on large data sets.