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Translocation-Deletions Distance Formula for Sorting Genomes

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3 Author(s)
Fanchang Hao ; Sch. of Comput. Sci. & Technol., Shandong Univ., Jinan, China ; Junfeng Luan ; Daming Zhu

Given two signed multi-chromosomal genomes Pi and Gamma, where gene set of Gamma is the proper subset of that of Pi, the problem of sorting by translocation-deletions, which is abbrebiated as STD, is to find the shortest sequence transforming Pi to Gamma via the two operations mentioned above only. A lower bound of the distance from Pi to Gamma 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.

Published in:

Computer Science and Information Engineering, 2009 WRI World Congress on  (Volume:4 )

Date of Conference:

March 31 2009-April 2 2009

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