Abstract
The oldest and still the single most frequent “bioinformatic” activity is the comparison of nucleotide or protein sequences, nowadays usually as part of a search for matches in large databanks. Despite the fact that it also involves differences between two linear orderings, the comparison of gene orders is a completely different enterprise. Sequence comparison pertains to strings of symbols drawn from a small alphabet, so that each symbol appears many times, whereas gene order comparisons compare permutations of n symbols, each symbol appearing only once (in the simplest case). Sequence comparison assumes that the strings being compared diverged through local changes such as substitution, insertion, and deletion, whereas gene orders diverged through rearrangement operations, such as inversion, transposition and translocation, affecting any number of terms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bafna, V. and Pevzner, P. 1995. Sorting by transpositions. In Z. Galil and E. Ukkonen (eds.), Proc. 6th Annual ACM-SIAM Symposium on Combinatorial Pattern Matching, volume 937 of Lecture Notes in Computer Science, pp. 614–623. Springer Verlag, New York.
Bafna, V. and Pevzner, P. 1996. Genome rearrangements and sorting by reversal. SIAM Journal on Computing 25:2272–2289.
Bengsston, B. O., Levan, K. K., and Levan, G. 1993. Measuring genome organization from synteny data. Cytogenetics and Cell Genetics 64:198–200.
Berman, P. and Hannenhalli, S. 1996. Fast sorting by reversals. In Proceedings of Combinatorial Pattern Matching — CPM’96.
Blanchette, M., Kunisawa, T., and Sankoff, D. 1996. Parametric genome rearrangement. Gene 172:GC11–GC17.
Caprara, A. 1997. Sorting by reversals is difficult. In Proceedings of the 1st Annual International Conference on Computational Molecular Biology (RECOMB 97), pp. 75–83. ACM, New York.
Caprara, A., Lancia, G., and Ng, S. K. 1995. A column-generation based branch-and-bound algorithm for sorting by reversals. Fourth DIMACS International Algorithm Implementation Challenge.
Dalevi, D., Eriksen, N., Eriksson, K., and Andersson, S. 2000. Genome comparison: The number of evolutionary events separating C. pneumoniae and C. trachomatis.
Dasgupta, B., Jiang, T., Kannan, S., Li, M., and Sweedyk, E. 1998. On the complexity and approximation of syntenic distance. Discrete Applied Mathematics 88:59–82.
Ehrlich, J., Sankoff, D., and Nadeau, J. H. 1997. Synteny conservation and chromosome rearrangements during mammalian evolution. Genetics 147:289–296.
El-Mabrouk, N., Nadeau, J. H., and Sankoff, D. 1998. Genome halving. In M. Farach-Colton (ed.), Combinatorial Pattern Matching, Ninth Annual Symposium, volume 1448 of Lecture Notes in Computer Science, pp. 235–250. Springer Verlag.
Ferretti, V., Nadeau, J. H., and Sankoff, D. 1996. Original synteny. In 7th Annual Symposium on Combinatorial Pattern Matching, pp. 159–167.
Goldberg, L. A., Goldberg, P. W., Paterson, M. S., Pevzner, P. A., Sahinalp, S. C., and Sweedyk, E. 1999. Complexity of gene placement. In Tenth Annual ACM-SIAM Symposium on Discrete Algorithms, Baltimore, Maryland.
Gu, Q.-P., Iwata, K., Peng, S., and Chen, Q.-M. 1997. A heuristic algorithm for genome rearrangements. In S. Miyano and T. Takagi (eds.), Genome Informatics 1997, pp. 268–269. Universal Academy Press, Tokyo.
Hannenhalli, S. 1995. Polynomial-time algorithm for computing translocation distance between genomes. In Z. Galil and E. Ukkonen (eds.), Sixth Annual Symposium on Combinatorial Pattern Matching, volume 937 of Lecture Notes in Computer Science, pp. 162–176. Springer, Berlin.
Hannenhalli, S. and Pevzner, P. 1995a. Transforming men into mice (polynomial algorithm for genomic distance problem). In Proceedings of the IEEE 36th Annual Symposium on Foundations of Computer Science, pp. 581–592.
Hannenhalli, S. and Pevzner, P. A. 1995b. Transforming cabbage into turnip (polynomial algorithm for sorting signed permutations by reversals). In Proceedings of the 27th Annual ACM-SIAM Symposium on the Theory of Computing, pp. 178–189.
Horimoti, K., Mori, K., and Fukuchi, S. 1999. Measures for circular genome comparison. Information 2:83–90.
Kaplan, H., Shamir, R., and Tarjan, R. E. 1997. Faster and simpler algorithm for sorting signed permutations by reversals. In Proceedings of the 8th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 344–351. ACM, New York.
Kececioglu, J. and Sankoff, D. 1994. Efficient bounds for oriented chromosome inversion distance. In Proceedings of the 5th Annual Symposium on Combinatorial Pattern Matching, volume 807 of Lecture Notes in Computer Science, pp. 162–176. Springer, Berlin.
Kececioglu, J. and Sankoff, D. 1995. Exact and approximation algorithms for sorting by reversals, with application to genome rearrangement. Algorithmica 13:180–210.
Kececioglu, J. D. and Ravi, R. 1995. Of mice and men: algorithms for evolutionary distance between genomes with translocations. In Proceedings of 6th ACM-SIAM Symposium on Discrete Algorithms, pp. 604–613.
Liben-Nowell, D. 1999. On the structure of syntenic distance. In 10th Annual Symposium on Combinatorial Pattern Matching, pp. 43–56.
Sankoff, D. 1992. Edit distance for genome comparison based on nonlocal operations. In Combinatorial Pattern Matching (CPM’92), volume 644 of Lecture Notes in Computer Science, pp. 121–135. Springer-Verlag, Berlin.
Sankoff, D. 1999. Genome rearrangements with gene families. Bioinformatics 15:909–917.
Sankoff, D. and Blanchette, M. 1997. The median problem for breakpoints in comparative genomics. In T. Jiang and D. T. Lee (eds.), Computing and Combinatorics, Proceeedings of COCOON ‘97, volume 1276 of Lecture Notes in Computer Science, pp. 251–263. Springer, Berlin.
Sankoff, D., Cedergren, R., and Abel, Y. 1990. Genome divergence through gene rearrangement. Methods in Enzymology 183:428–438.
Sankoff, D., Ferretti, V., and Nadeau, J. H. 1997. Conserved segment identification. Journal of Computational Biology 559:559–565.
Sankoff, D. and Goldstein, M. 1989. Probabilistic models of genome snuffing. Bulletin of Mathematical Biology 51:117–124.
Sturtevant, A. H. and Novitski, E. 1941. The homologies of chromosome elements in the genus Drosophila. Genetics 26:517–541.
Walter, M. E., Dias, Z., and Meidanis, J. 1998. Reversal and transposition distance of linear chromosomes. In String Processing and Information Retrieval: A South American Symposium—SPIRE’98. Submitted to Journal of Computational Biology.
Watterson, G., Ewens, W., Hall, T., and Morgan, A. 1982. The chromosome inversion problem. Journal of Theoretical Biology 99:1–7.
Zakharov, I. A., Nikiforov, V. I., and Stepanyuk, E. V. 1992. Homology and evolution of gene orders: combination measurement of synteny group similarity and simulation of the evolutionary process. Soviet Genetics 28:77–81.
Zakharov, I. A., Nikiforov, V. I., and Stepanyuk, E. V. 1995. Interval estimates of combinatorial measures of similarity for orders of homologous genes. Genetika 31:1163–1167.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Sankoff, D., Nadeau, J.H. (2000). A New Set of Problems for a New Kind of Data. In: Sankoff, D., Nadeau, J.H. (eds) Comparative Genomics. Computational Biology, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4309-7_15
Download citation
DOI: https://doi.org/10.1007/978-94-011-4309-7_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6584-6
Online ISBN: 978-94-011-4309-7
eBook Packages: Springer Book Archive