Is there any open source graph database available other than Neo4J?
NOTE: Why not Neo4J?
Neo4J is opensource, but counts primitives (number of nodes,relationships & properties). If you are using it for commercial use. And does not have any straight forward information of pricing on official website. so there can be potential vendor lock-in (Although I have just started my company, and don't have budget to spent money on software anyway.) so It is out of option.
As RobV said, if your graphs can be represented in just about any custom format such as RDF or DOT language, you're in luck! Here's various options you have:
Of course if it fits your company's profile, you could develop your own and start selling it as a product.