Computer Science and Information Engineering, World Congress on (2009)
Los Angeles, California USA
Mar. 31, 2009 to Apr. 2, 2009
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CSIE.2009.116
Given two signed multi-chromosomal genomes Π and Γ, where gene set of Γ is the proper subset of that of Π, the problem of sorting by translocation-deletions, which is abbrebiated as STD, is to find the shortest sequence transforming Π to Γ via the two operations mentioned above only. A lower bound of the distance from Π to Γ and an asymptotically optimal algorithm has been given . In this paper we present a formula to calculate the translocation-deletions distance for the first time. Moreover, we improved the existing algorithms to a new one, which is the first algorithm presenting the precise distance and the optimal translocation and deletion sequence in polynomial-time. After giving the algorithm analysis, we illustrate the performence with an example.
sorting genomes, translocation and deletion, distance formula, precise algorithm
Daming Zhu, Fanchang Hao, Junfeng Luan, "Translocation-Deletions Distance Formula for Sorting Genomes", Computer Science and Information Engineering, World Congress on, vol. 04, no. , pp. 820-824, 2009, doi:10.1109/CSIE.2009.116