On the parameterized complexity of 2-partitions

03/16/2020

∙

by   Jonas Bamse Andersen, et al.

∙

0

∙

share

We give an FPT algorithm for deciding whether the vertex set a digraph D can be partitioned into two disjoint sets V_1,V_2 such that the digraph D[V_1] induced by V_1 has a vertex that can reach all other vertices by directed paths, the digraph D[V_2] has no vertex of in-degree zero and |V_i|≥ k_i, where k_1,k_2 are part of the input. This settles an open problem from[1,4].