Algorithm

You don't. You either publish it as a gesture of goodwill or you try to find some contrived application where your advantage is profitable.

What is the time complexity of the worst case: O(N)? O(N^2)? O(N^3)? ...

In which language had you writen it: C? Python? ...

Note that in spite the exact problem is very hard, there are fast heuristics that give aproxímate solutions most of the time.

How much faster your algorithm is than state of the art on big problem instances.

  can be a solution of traveling Sales Problem(TSP)

Can be, or is?

nobody will care unless you can do leetcode