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2009 The Three-state Perfect Phylogeny Problem Reduces to 2-SAT
Dan Gusfield, Yufeng Wu
Commun. Inf. Syst. 9(4): 295-302 (2009).


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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Dan Gusfield. Yufeng Wu. "The Three-state Perfect Phylogeny Problem Reduces to 2-SAT." Commun. Inf. Syst. 9 (4) 295 - 302, 2009.


Published: 2009
First available in Project Euclid: 4 March 2010

zbMATH: 1194.92058
MathSciNet: MR2608061

Rights: Copyright © 2009 International Press of Boston


Vol.9 • No. 4 • 2009
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