Title
Transposition Distance Based on the Algebraic Formalism
Abstract
In computational biology, genome rearrangements is a field in which we study mutational events affecting large portions of a genome. One such event is the transposition, that changes the position of contiguous blocks of genes inside a chromosome. This event generates the problem of transposition distance, that is to find the minimal number of transpositions transforming one chromosome into another. It is not known whether this problem is $\mathcal{NP}$-hard or has a polynomial time algorithm. Some approximation algorithms have been proposed in the literature, whose proofs are based on exhaustive analysis of graphical properties of suitable cycle graphs. In this paper, we follow a different, more formal approach to the problem, and present a 1.5-approximation algorithm using an algebraic formalism. Besides showing the feasibility of the approach, the presented algorithm exhibits good results, as our experiments show.
Year
DOI
Venue
2008
10.1007/978-3-540-85557-6_11
BSB
Keywords
Field
DocType
computational biology
Genome,Transposition (music),Approximation algorithm,Discrete mathematics,Graph,Combinatorics,Algebraic number,Mathematical proof,Formalism (philosophy),Bioinformatics,Time complexity,Mathematics
Conference
Volume
ISSN
Citations 
5167
0302-9743
2
PageRank 
References 
Authors
0.46
10
5
Name
Order
Citations
PageRank
Cleber V. G. Mira120.46
Zanoni Dias226244.40
Hederson P. Santos320.46
Guilherme A. Pinto461.63
Maria Emilia M. T. Walter53714.23