메뉴 건너뛰기




Volumn 53, Issue 5, 2006, Pages 722-744

Finding a maximum likelihood tree is hard

Author keywords

Approximate vertex cover; Intractability; Maximum likelihood; Maximum parsimony; Tree reconstruction

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; EVOLUTIONARY ALGORITHMS; HEURISTIC METHODS; MAXIMUM LIKELIHOOD ESTIMATION; PROBLEM SOLVING;

EID: 33845335476     PISSN: 00045411     EISSN: None     Source Type: Journal    
DOI: 10.1145/1183907.1183909     Document Type: Article
Times cited : (40)

References (26)
  • 3
    • 0033795444 scopus 로고    scopus 로고
    • Multiple maxima of likelihood in phylogenetic trees: An analytic approach
    • CHOR, B., HENDY, M. D., HOLLAND, B. R., AND PENNY, D. 2000. Multiple maxima of likelihood in phylogenetic trees: An analytic approach. Mol. Biol. Evol. 17, 10, 1529-1541.
    • (2000) Mol. Biol. Evol. , vol.17 , Issue.10 , pp. 1529-1541
    • Chor, B.1    Hendy, M.D.2    Holland, B.R.3    Penny, D.4
  • 4
    • 29144484019 scopus 로고    scopus 로고
    • Maximum likelihood of evolutionary trees: Hardness and approximation
    • CHOR B. AND TULLER, T. 2005. Maximum likelihood of evolutionary trees: Hardness and approximation. Bioinformatics 21, 1, i97-i106.
    • (2005) Bioinformatics , vol.21 , Issue.1
    • Chor, B.1    Tuller, T.2
  • 5
    • 0023079987 scopus 로고
    • The computational complexity of inferring phylogenies from dissimilarity matrix
    • DAY, W. 1987. The computational complexity of inferring phylogenies from dissimilarity matrix. Bull. Math. Biol. 49, 4, 461-467.
    • (1987) Bull. Math. Biol. , vol.49 , Issue.4 , pp. 461-467
    • Day, W.1
  • 6
    • 0003088855 scopus 로고
    • The computational complexity of inferring rooted phylogenies by parsimony
    • DAY, W., JOHNSON, D., AND SANKOFF, D. 1986. The computational complexity of inferring rooted phylogenies by parsimony. Mathematical Biosciences 81, 33-42.
    • (1986) Mathematical Biosciences , vol.81 , pp. 33-42
    • Day, W.1    Johnson, D.2    Sankoff, D.3
  • 7
    • 0004485904 scopus 로고
    • The computational complexity of inferring phylogenies by compatibility
    • DAY W., AND SANKOFF, D. 1986. The computational complexity of inferring phylogenies by compatibility. Syst. Zool. 35, 2, 224-229.
    • (1986) Syst. Zool. , vol.35 , Issue.2 , pp. 224-229
    • Day, W.1    Sankoff, D.2
  • 8
    • 29844440416 scopus 로고    scopus 로고
    • On the importance of being biased (1.36 hardness of approximating vertex-cover)
    • DINUR I., AND SAFRA, S. 2005. On the importance of being biased (1.36 hardness of approximating vertex-cover). Ann. Math. 162, 439-485.
    • (2005) Ann. Math. , vol.162 , pp. 439-485
    • Dinur, I.1    Safra, S.2
  • 9
    • 0004128472 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • EDWARDS, A. W. F. 1972. Likelihood. Cambridge University Press, Cambridge, UK.
    • (1972) Likelihood
    • Edwards, A.W.F.1
  • 10
    • 0019797407 scopus 로고
    • Evolutionary trees from DNA sequences: A maximum likelihood approach
    • FELSENSTEIN, J. 1981. Evolutionary trees from DNA sequences: A maximum likelihood approach. J. Mol. Evol. 77, 368-376.
    • (1981) J. Mol. Evol. , vol.77 , pp. 368-376
    • Felsenstein, J.1
  • 11
    • 0029901637 scopus 로고    scopus 로고
    • Inferring phylogenies from protein sequences by parsimony, distance, and likelihood methods
    • FELSENSTEIN, J. 1996. Inferring phylogenies from protein sequences by parsimony, distance, and likelihood methods. Meth. Enzym. 266, 419-427.
    • (1996) Meth. Enzym. , vol.266 , pp. 419-427
    • Felsenstein, J.1
  • 13
    • 84959747425 scopus 로고
    • Toward defining the course of evolution: Minimum change for specified tree topology
    • FITCH, W. M. 1971. Toward defining the course of evolution: Minimum change for specified tree topology. Syst. Zool. 20, 406-416.
    • (1971) Syst. Zool. , vol.20 , pp. 406-416
    • Fitch, W.M.1
  • 14
    • 0003081588 scopus 로고
    • The Steiner problem in phylogeny is NP-complete
    • FOULDS, L., AND GRAHAM, R. 1982. The Steiner problem in phylogeny is NP-complete. Adv. Appl. Math. 3, 43-49.
    • (1982) Adv. Appl. Math. , vol.3 , pp. 43-49
    • Foulds, L.1    Graham, R.2
  • 15
    • 0000844603 scopus 로고    scopus 로고
    • Some optimal inapproximability results
    • HASTAD, J. 2001. Some optimal inapproximability results. J. ACM 48, 798-859.
    • (2001) J. ACM , vol.48 , pp. 798-859
    • Hastad, J.1
  • 16
    • 0000732090 scopus 로고
    • Evolution of protein molecules
    • H. N. Munro, Ed. Academic Press, New York
    • JUKES, T. H. AND CANTOR, C. R. 1969. Evolution of protein molecules. In Mammalian Protein Metabolism. H. N. Munro, Ed. Academic Press, New York, pp. 21-132.
    • (1969) Mammalian Protein Metabolism , pp. 21-132
    • Jukes, T.H.1    Cantor, C.R.2
  • 18
    • 0029881442 scopus 로고    scopus 로고
    • Probabilistic reconstruction of ancestral nucleotide and amino acid sequences
    • KOSHI, M., AND GOLDSTEIN, R. 1996. Probabilistic reconstruction of ancestral nucleotide and amino acid sequences. J. Molec. Evol. 42, 313-320.
    • (1996) J. Molec. Evol. , vol.42 , pp. 313-320
    • Koshi, M.1    Goldstein, R.2
  • 19
    • 0001879933 scopus 로고
    • Molecular studies of evolution: A source of novel statistical problems
    • S. Gupta and Y. Jackel, Eds. Academic Press, New York
    • NEYMAN, J. 1971. Molecular studies of evolution: A source of novel statistical problems. In Statistical Decision Theory and Related Topics, S. Gupta and Y. Jackel, Eds. Academic Press, New York, pp. 1-27.
    • (1971) Statistical Decision Theory and Related Topics , pp. 1-27
    • Neyman, J.1
  • 20
    • 33144459988 scopus 로고    scopus 로고
    • A short proof that phylogenetic tree reconstruction by maximum likelihood is hard
    • accepted
    • ROCH, S. 2006. A short proof that phylogenetic tree reconstruction by maximum likelihood is hard. IEEE/ACM Trans. Comput. Biol. Bioinformat. 3, 1, 92-94. accepted.
    • (2006) IEEE/ACM Trans. Comput. Biol. Bioinformat. , vol.3 , Issue.1 , pp. 92-94
    • Roch, S.1
  • 21
    • 52449147252 scopus 로고
    • The complexity of reconstructing trees from qualitative characters and subtrees
    • STEEL, M. 1992. The complexity of reconstructing trees from qualitative characters and subtrees. J. Classif. 9, 71-90.
    • (1992) J. Classif. , vol.9 , pp. 71-90
    • Steel, M.1
  • 22
    • 12044253706 scopus 로고
    • The maximum likelihood point for a phlogenetic tree is not unique
    • STEEL, M. 1994. The maximum likelihood point for a phlogenetic tree is not unique. Syst. Biol., 43, 560-564,
    • (1994) Syst. Biol. , vol.43 , pp. 560-564
    • Steel, M.1
  • 23
    • 0034035066 scopus 로고    scopus 로고
    • Parsimony, likelihood and the role of models in molecular phylogenetics
    • STEEL, M., AND PENNY, D. 2000. Parsimony, likelihood and the role of models in molecular phylogenetics. Mol. Biol. Evol. 17, 839-850.
    • (2000) Mol. Biol. Evol. , vol.17 , pp. 839-850
    • Steel, M.1    Penny, D.2
  • 24
    • 0031149251 scopus 로고    scopus 로고
    • Link between maximum likelihood and maximum parsimony under a simple model of site substitution
    • TUFFLEY, C., AND STEEL, M. 1997. Link between maximum likelihood and maximum parsimony under a simple model of site substitution. Bull. Math. Biol. 59, 3, 581-607.
    • (1997) Bull. Math. Biol. , vol.59 , Issue.3 , pp. 581-607
    • Tuffley, C.1    Steel, M.2
  • 26
    • 0028820333 scopus 로고
    • A new method of inferring of ancestral nucleotide and amino acid sequences
    • YANG, Z., KUMAR, S., AND NEI, M. 1995. A new method of inferring of ancestral nucleotide and amino acid sequences. Genetics 141, 1641-1650.
    • (1995) Genetics , vol.141 , pp. 1641-1650
    • Yang, Z.1    Kumar, S.2    Nei, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.