It's kinda nice to see a non-AI project on here.
Graph traversal is a classical AI problem. See Ch. 3 from AIMA: https://aima.cs.berkeley.edu/index.html
I assume you mean non-LLM.
Graph transformers, using the same technology as in LLMs, have been a topic of research for many years, also for routing problems. So yes, it is non-LLM, but they could still have a lot in common.