Abstract. We study efficient exact algorithms for several problems including Vertex Bipartization, Feedback Vertex Set, 3-Hitting Set, Max Cut in graphs with maximum degree at most...
In this paper, it is shown that the Feedback Vertex Set problem on unweighted, undirected graphs has a kernel of cubic size. I.e., a polynomial time algorithm is described, that, w...
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...
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
In this paper we initiate the study of the AND-OR directed feedback vertex set problem from the viewpoint of approximation algorithms. This AND-OR feedback vertex set problem is m...
Kamal Jain, Mohammad Taghi Hajiaghayi, Kunal Talwa...