This document discusses GRAPHITE, an extensible graph traversal framework for relational database management systems (RDBMS). GRAPHITE allows for efficient graph processing by integrating native graph operators into the RDBMS query execution engine. This allows graph queries to be combined with relational and other data models within a single database. The architecture of GRAPHITE includes components for graph storage, logical and physical graph operators, a graph optimizer, and a graph traversal DSL called TraveL. Initial experimental results show that GRAPHITE can efficiently execute graph traversals and queries on graph data stored in an RDBMS.