Title
A note on the parameterized complexity of unordered maximum tree orientation.
Abstract
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.
Year
DOI
Venue
2012
10.1016/j.dam.2012.02.017
Discrete Applied Mathematics
Keywords
Field
DocType
Graph orientation,Directed path,Parameterized reduction,Bipartization
Discrete mathematics,Combinatorics,Parameterized complexity,Vertex (geometry),Mathematics
Journal
Volume
Issue
ISSN
160
10
0166-218X
Citations 
PageRank 
References 
0
0.34
9
Authors
2
Name
Order
Citations
PageRank
Sebastian Böcker133239.19
Peter Damaschke247156.99