I was confused when I first saw the project, cartoon logo and "Gremlin
Free" name, and I'm intimately familiar with both the Apache TinkerPop Gremlin
open-source project, its third-party libraries, and the extensive ASF legal process we went through registering and identifying the use of marks.
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.