On Minimum Feedback Vertex Sets in Bipartite Graphs and Degree-Constraint Graphs

Asahi Takaoka, Satoshi Tayu, Shuichi Ueno · IEICE Transactions on Information and Systems · 2013

We consider the minimum feedback vertex set problem for some bipartite graphs and degree-constrained graphs. We show that the problem is linear time solvable for bipartite permutation graphs and NP-hard for grid intersection graphs. We also show that the problem is solvable in O(n2log 6n) time for n-vertex graphs with maximum degree at most three.

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