What is the best algorithm to compute p-dominating set?
The p-dominating set problem is a parameterized version of minimum dominating set in which the problem takes a parameter $k$ also as an input, and the problem is now whether there exist a dominating set of cardinality at most $k$.
I know the problem is W[2]-hard so there is no chance of getting a $f(k) n^c$ running time algorithm unless the parameterized hierarchy collapses.