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Certifying Algorithms for Recognizing Interval Graphs and Permutation Graphs

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons45021

Mehlhorn,  Kurt
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Zitation

Kratsch, D., McConnell, R., Mehlhorn, K., & Spinrad, J. P. (2006). Certifying Algorithms for Recognizing Interval Graphs and Permutation Graphs. SIAM Journal on Computing, 36, 326-353.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-224D-0
Zusammenfassung
A certifying algorithm for a problem is an algorithm that provides a certificate with each answer that it produces. The certificate is a piece of evidence that proves that the answer has not been compromised by a bug in the implementation. We give linear-time certifying algorithms for recognition of interval graphs and permutation graphs, and for a few other related problems. Previous algorithms fail to provide supporting evidence when they claim that the input graph is not a member of the class. We show that our certificates of nonmembership can be authenticated in O(|V|) time.