Suppose I came across a problem, say in graph theory, that I need to solve for my application, or a problem that I just created out of the blue. I find that it is not a standard problem by any means. Also, it may not have many applications. I then solve this problem with some algorithm. The algorithm is non-trivial. My questions are:
- Is it possible to publish such algorithms?
- Does it even make sense to publish it? Since it may not even have any applications. And if it did, it is likely that other people have solved the same problem for their respective applications without ever publishing it.
I am sorry if such speculative questions should not be asked here, but I was curious. Thanks!