Knowledge is best when it's shared. For Associativy this means that there should be an API that developers can leverage to access knowledge graphs.
The 1.6 release of Orchard will bring many new features, among others Web API integration. Web API is a great tool for building public APIs that are exposed as RESTful web services, and Associativy will soon be equipped with Web API endpoints. This way you'll be able to access your Associativy graphs through a wide variety of clients, including mobile applications.