On the Complexity of Fundamental Computational Problems in Pedigree Analysis

Journal of Computational Biology

Volumn 10, Issue 5, 2003, Pages 763-773

  Piccolboni, Antonio ^a,b   Gusfield, Dan ^a  

^a University of California   (United States)

^b Thermo Fisher Scientific   (United States)

Author keywords

Computational complexity; Linkage analysis; Pedigree

Indexed keywords

HUMAN; HUMAN GENETICS; LINKAGE ANALYSIS; MATHEMATICAL GENETICS; PEDIGREE; PRIORITY JOURNAL; PROBABILITY; REVIEW;

COMPUTATIONAL BIOLOGY; MODELS, GENETIC; PEDIGREE; PROBABILITY;

EID: 0242608428     PISSN: 10665277     EISSN: None     Source Type: Journal    
DOI: 10.1089/106652703322539088     Document Type: Review

References (17)

1. Berman, P., and Karpinski, M. 1999. On some tighter inapproximability results (extended abstract). Proc. ICALP, 200-209.
2. Bondari, K.R., Willham, R.L., and Freeman, A. 1978. Estimates of direct and maternal genetic correlations for pupa weight and family size of tribolium. J. Animal Sci. 47, 358-365.
3. Cooper, G. 1990. The computational complexity of probabilistic inference using Bayesian belief networks. Artificial Intelligence 42, 393-405.
4. Cottingham Jr., R.W., Idury, R.M., and Schäffer, A.A. 1993. Faster sequential genetic linkage computations. Am. J. Human Genet. 53, 252-263.
5. Dagum, P., and Luby, M. 1993. Approximating probabilistic inference in Bayesian belief networks is NP-hard. Artificial Intelligence.
6. Dyer, M.E., and Greenhill, C.S. 2000. On Markov chains for independent sets. J. Algorithms 35(1), 17-49.
7. Elston, R.C., and Stewart, J. 1971. A general model for the analysis of pedigree data. Human Heredity 21, 523-542.
8. Fishelson, M., and Geiger, D. 2002. Exact genetic linkage computations for general pedigrees. Proc. ISMB, 189-198.
9. Fishelson, M., and Geiger, D. 2003. Optimizing exact genetic linkage computations. Proc. RECOMB. To appear.
10. Garey, M.R., Johnson, D.S., and Stockmeyer, L. 1976. Some simplified NP-complete graph problems. Theoret. Comput. Sci., 237-267.
11. Hansen, J.A., Johnson, J., Knudsen, J., and Ingolfsdotter, A. 2002. Computational complexity of consistency checking. Technical Report, Aalborg University.
12. Lander, E.S., and Green, P. 1987. Construction of multilocus genetic linkage maps in humans. Proc. Natl. Acad. Sci. USA 84, 2363-2367.
13. Lange, K. 1997. Mathematical and Statistical Methods for Genetic Analysis, Springer, New York.
14. Li, J., and Jiang, T. 2003. Efficient rule-based haplotyping algorithms for pedigree data. Proc. RECOMB. To appear.
15. Lin, S. 1996. Monte Carlo methods in genetic analysis, in T. Speed and M.S. Waterman, eds., Genetic Mapping and DNA Sequencing, Springer, Berlin.
16. Piccolboni, A., and Gusfield, D. 1999, Sept. On the Complexity of Fundamental Computational Problems in Pedigree Analysis. Technical Report CSE 99-8, University of California, Davis.
17. Schäfer, A.A. 1999. Computing probabilities of homozygosity by descent. Genetic Epidemiology 16, 135-149.