Compression-based fixed-parameter algorithms for feedback vertex set and edge bipartization
Journal of Computer and System Sciences
Efficient Exact Algorithms through Enumerating Maximal Independent Sets and Other Techniques
Theory of Computing Systems
WABI '08 Proceedings of the 8th international workshop on Algorithms in Bioinformatics
Simpler Parameterized Algorithm for OCT
Combinatorial Algorithms
A Faster Fixed-Parameter Approach to Drawing Binary Tanglegrams
Parameterized and Exact Computation
Improved upper bounds for vertex cover
Theoretical Computer Science
Approximation algorithms for orienting mixed graphs
CPM'11 Proceedings of the 22nd annual conference on Combinatorial pattern matching
Finding odd cycle transversals
Operations Research Letters
Parameterized Complexity
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In the Unordered Maximum Tree Orientation problem, a set P of paths in a tree and a parameter k is given, and we want to orient the edges in the tree such that all but at most k paths in P become directed paths. This is a more difficult variant of a well-studied problem in computational biology where the directions of paths in P are already given. We show that the parameterized complexity of the unordered version is between Edge Bipartization and Vertex Bipartization, and we give a characterization of orientable path sets in trees by forbidden substructures, which are cycles of a certain kind.