On the distribution of cycles and paths in multichromosomal breakpoint graphs and the expected value of rearrangement distance

Feijão P, Martinez F, Thévenin A (2015)
BMC Bioinformatics 16(Suppl 19): S1.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
Finding the smallest sequence of operations to transform one genome into another is an important problem in comparative genomics. The breakpoint graph is a discrete structure that has proven to be effective in solving distance problems, and the number of cycles in a cycle decomposition of this graph is one of the remarkable parameters to help in the solution of related problems. For a fixed k, the number of linear unichromosomal genomes (signed or unsigned) with n elements such that the induced breakpoint graphs have k disjoint cycles, known as the Hultman number, has been already determined. In this work we extend these results to multichromosomal genomes, providing formulas to compute the number of multichromosal genomes having a fixed number of cycles and/or paths. We obtain an explicit formula for circular multichromosomal genomes and recurrences for general multichromosomal genomes, and discuss how these series can be used to calculate the distribution and expected value of the rearrangement distance between random genomes.
Stichworte
Hultman number; multichromosomal genomes; genome rearrangement; breakpoint graph; double cut and join
Erscheinungsjahr
2015
Zeitschriftentitel
BMC Bioinformatics
Band
16
Ausgabe
Suppl 19
Art.-Nr.
S1
ISSN
1471-2105
Finanzierungs-Informationen
Article Processing Charge funded by the Deutsche Forschungsgemeinschaft and the Open Access Publication Fund of Bielefeld University.
Page URI
https://pub.uni-bielefeld.de/record/2900856

Zitieren

Feijão P, Martinez F, Thévenin A. On the distribution of cycles and paths in multichromosomal breakpoint graphs and the expected value of rearrangement distance. BMC Bioinformatics. 2015;16(Suppl 19): S1.
Feijão, P., Martinez, F., & Thévenin, A. (2015). On the distribution of cycles and paths in multichromosomal breakpoint graphs and the expected value of rearrangement distance. BMC Bioinformatics, 16(Suppl 19), S1. doi:10.1186/1471-2105-16-s19-s1
Feijão, P., Martinez, F., and Thévenin, A. (2015). On the distribution of cycles and paths in multichromosomal breakpoint graphs and the expected value of rearrangement distance. BMC Bioinformatics 16:S1.
Feijão, P., Martinez, F., & Thévenin, A., 2015. On the distribution of cycles and paths in multichromosomal breakpoint graphs and the expected value of rearrangement distance. BMC Bioinformatics, 16(Suppl 19): S1.
P. Feijão, F. Martinez, and A. Thévenin, “On the distribution of cycles and paths in multichromosomal breakpoint graphs and the expected value of rearrangement distance”, BMC Bioinformatics, vol. 16, 2015, : S1.
Feijão, P., Martinez, F., Thévenin, A.: On the distribution of cycles and paths in multichromosomal breakpoint graphs and the expected value of rearrangement distance. BMC Bioinformatics. 16, : S1 (2015).
Feijão, Pedro, Martinez, Fábio, and Thévenin, Annelyse. “On the distribution of cycles and paths in multichromosomal breakpoint graphs and the expected value of rearrangement distance”. BMC Bioinformatics 16.Suppl 19 (2015): S1.
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2019-09-06T09:18:35Z
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