Sure, but is there work in graph theory outside of academia? Obviously there are people who use it to solve real problems but I'm unsure if you can really get a job as a graph guy.
It depends, when I worked at a big company that produced a CAS (computer algebra system) they had an entire team for building graph theory ideas into the software. When I worked at a startup working on urban traffic congestion, there was just one guy who had done some surface-level reading one weekend on max-flow-min-cut and some basic algorithms. Knowing graph theory definitely helped me get that startup job (and take over as "the graph theory guy")
Actually, now that I think about it, I am giving you quite a microcosmic example. I agree that coming across graph theory jobs is tough, but its still worth knowing, at least at a surface level.