Communications in Information and Systems

Volume 9 (2009)

Number 4

The Three-state Perfect Phylogeny Problem Reduces to 2-SAT

Pages: 295 – 302



Dan Gusfield

Yufeng Wu


We extend a structural result by A. Dress and M. Steel, "Convex tree realizations of partitions," Applied Math Letters, 5 (1993), pp. 3-6., to show that the three-state Perfect Phylogeny problem reduces in polynomial time to the classic 2-SAT problem. We also give a more expanded exposition of the proof of the structural result from Dress and Steel. We hope this note will encourage additional researchers to try to solve the central open question: finding simple efficient solutions to the k-state Perfect Phylogeny problem for k > 3.

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