Read up on your trademark, IP and copyright law. The use of similar marks is not permitted when there is potential for confusion, such as two different software projects, esp with overlapping audiences.
NB: TinkerPop is NOT a "graph database", it is a collection of software libraries for connecting to, using, and managing graph databases and distributed processing platforms. Gremlin is a primary part of that stack -- Gremlin proper is the programming language, and the Gremlin GTM is the runtime.