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ISAAC
2004
Springer

Error Compensation in Leaf Root Problems

14 years 4 months ago
Error Compensation in Leaf Root Problems
The k-Leaf Root problem is a particular case of graph power problems. Here, we study “error correction” versions of k-Leaf Root—that is, for instance, adding or deleting at most l edges to generate a graph that has a k-leaf root. We provide several NP-completeness results in this context, and we show that the NP-complete Closest 3Leaf Root problem (the error correction version of 3-Leaf Root) is fixed-parameter tractable with respect to the number of edge modifications in the given graph. Thus, we provide the seemingly first nontrivial positive algorithmic results in the field of error compensation for leaf root problems with k > 2. To this end, as a result of independent interest, we develop a forbidden subgraph characterization of graphs with 3-leaf roots.
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni
Added 02 Jul 2010
Updated 02 Jul 2010
Type Conference
Year 2004
Where ISAAC
Authors Michael Dom, Jiong Guo, Falk Hüffner, Rolf Niedermeier
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