Quantum graph states are a useful tool to study quantum entanglement and a resource in networking and computation. Knowing whether two graph states are equivalent under local operations is quite useful when studying how to efficiently create such states, and there have been a variety of techniques built to classify such states.
I just released a small package LCOrbits.jl that provides an easy access to a few different databases of equivalence classes of graph states. You can find it at GitHub - QuantumSavory/LCOrbits.jl: A Julia wrapper for databases of local complementation orbits. (and soon in the General registry).
Here is a little plot of a set of equivalent graph states from one of the databases.
