To decide if the parameterized feedback vertex set problem in directed graph is fixed-parameter tractable is a long standing open problem. In this paper, we prove that the paramet...
The Feedback Vertex Set problem asks whether a graph contains q vertices meeting all its cycles. This is not a local property, in the sense that we cannot check if q vertices meet...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
Abstract. We present improved parameterized algorithms for the Feedback Vertex Set problem on both unweighted and weighted graphs. Both algorithms run in time O(5k kn2 ). The algor...
Jianer Chen, Fedor V. Fomin, Yang Liu 0002, Songji...
A transitive orientation of an undirected graph is an assignment of directions to its edges so that these directed edges represent a transitive relation between the vertices of th...
A hitting set for a collection of sets is a set that has a nonempty intersection with each set in the collection; the hitting set problem is to find a hitting set of minimum card...
Karthekeyan Chandrasekaran, Richard Karp, Erick Mo...