The Computer Journal Advance Access originally published online on June 28, 2007
The Computer Journal 2008 51(3):363-371; doi:10.1093/comjnl/bxm039
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Some Parameterized Problems On Digraphs
1 Department of Computer Science, Royal Holloway University of London, Egham, Surrey TW20 0EX, UK
2 Department of Computer Science, University of Haifa, Israel
* Corresponding author: gutin{at}cs.rhul.ac.uk
Received 15 March 2006; revised 4 February 2007
We survey results and open questions on complexity of parameterized problems on digraphs. The problems include the feedback vertex and arc set problems, induced subdigraph problems and directed k-leaf problems. We also prove some new results on the topic. Most of these new results are on parameterizations of the backward paired comparison problem.
Key Words: parameterized algorithm; diagraphs