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Los Angeles, CA

March 31, 2009 to April 2, 2009

ISBN: 978-0-7695-3507-4

pp: 820-824

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CSIE.2009.116

ABSTRACT

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 [1]. 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.

INDEX TERMS

sorting genomes, translocation and deletion, distance formula, precise algorithm

CITATION

Fanchang Hao,
Junfeng Luan,
Daming Zhu,
"Translocation-Deletions Distance Formula for Sorting Genomes",

*CSIE*, 2009, 2009 WRI World Congress on Computer Science and Information Engineering, CSIE, 2009 WRI World Congress on Computer Science and Information Engineering, CSIE 2009, pp. 820-824, doi:10.1109/CSIE.2009.116