I have been working on a research problem independent of any advisor for the past few months and I think I have a result. The problem I am investigating has n and K as input. The naive approach would take O(n!K+2), which is ridiculously bad. I managed to come up with, and proof the correctness of a 2-approximation algorithm that runs in O(Kn2).
However, this is absolutely not a hot topic. Researchers in it are not a lot. On the other hand, there are practical applications of my algorithm (off the top of my head, I can think of three significant ones). I am also positive that my algorithm beats all published approximation algorithms as well.
So my question is: Would a reputable journal accept my paper given that it isn’t really a hot topic now?