Book ChapterDOI
An Overview of Genomic Distances Modeled with Indels
Marília D. V. Braga
- pp 22-31
TLDR
A new graph structure is introduced that gives a unified view of classical and some extensions of the classical approaches to compute the genomic distance, present an overview of their results and point out some open problems related to them.Abstract:
The genomic distance typically describes the minimum number of large-scale mutations that transform one genome into another. Classical approaches to compute the genomic distance are usually limited to genomes with the same content and take into consideration only rearrangements that change the organization of the genome (i.e., positions and orientation of pieces of DNA, and number of chromosomes). In order to handle genomes with distinct contents, also insertions and deletions of pieces of DNA—named indels—must be allowed. Some extensions of the classical approaches lead to models that allow rearrangements and indels. In this work we introduce a new graph structure that gives a unified view of these approaches, present an overview of their results and point out some open problems related to them.read more
Citations
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Book
Algorithms in Bioinformatics: 5th International Workshop, WABI 2005, Mallorca, Spain, October 3-6, 2005, Proceedings (Lecture Notes in Computer Science / Lecture Notes in Bioinformatics)
Rita Casadio,Gene Myers +1 more
TL;DR: In this article, the authors present an efficient reduction from constrained to unconstrained maximum agreement subtree for the maximum quartet consistency problem, which can be solved by using semi-definite programming.
Journal ArticleDOI
On the inversion-indel distance.
TL;DR: The inversion distance can be computed in a simpler way with the help of the DCJ operation and a lower and an upper bound for the inversion-indel distance in the presence of bad components are given.
Journal ArticleDOI
Computing the rearrangement distance of natural genomes
TL;DR: An algorithm solving the genomic distance problem for natural genomes, in which any marker may occur an arbitrary number of times, is presented, based on a new graph data structure, the multi-relational diagram, that allows an elegant extension of the ILP to count runs of markers that are under- or over-represented in one genome with respect to the other and need to be inserted or deleted.
Journal ArticleDOI
Sorting linear genomes with rearrangements and indels
Marília D. V. Braga,Jens Stoye +1 more
TL;DR: A very simple proof is presented showing that the distance, which can be computed in linear time, is the same for both the unrestricted and the restricted DCJ-indel models.
Book ChapterDOI
Restricted DCJ-Indel Model Revisited
Marília D. V. Braga,Jens Stoye +1 more
TL;DR: A very simple proof is presented showing that the distance, that can be computed in linear time, is always the same for both the general and the restricted DCJ-indel models.
References
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Journal ArticleDOI
Transforming cabbage into turnip: polynomial algorithm for sorting signed permutations by reversals
TL;DR: Sorting of signed permutations by reversals is studied, a problem that adequately models rearrangements in a small genomes like chloroplast or mitochondrial DNA and proves a duality theorem explaining this intriguing performance.
BookDOI
Algorithms in Bioinformatics
Rita Casadio,Gene Myers +1 more
TL;DR: A Lookahead Branch-and-Bound Algorithm for the Maximum Quartet Consistency Problem and Semi-definite Programming to Enhance Supertree Resolvability are presented.
Journal ArticleDOI
Efficient sorting of genomic permutations by translocation, inversion and block interchange
TL;DR: A universal double-cut-and-join operation that accounts for inversions, translocations, fissions and fusions, but also produces circular intermediates which can be reabsorbed, which converts one multi-linear chromosome genome to another in the minimum distance.
Book
Algorithms in Bioinformatics: 5th International Workshop, WABI 2005, Mallorca, Spain, October 3-6, 2005, Proceedings (Lecture Notes in Computer Science / Lecture Notes in Bioinformatics)
Rita Casadio,Gene Myers +1 more
TL;DR: In this article, the authors present an efficient reduction from constrained to unconstrained maximum agreement subtree for the maximum quartet consistency problem, which can be solved by using semi-definite programming.
Journal ArticleDOI
Genome Rearrangements and Sorting by Reversals
Vineet Bafna,Pavel A. Pevzner +1 more
TL;DR: The reversal distance between two random permutations is shown to be very close to the reversal diameter, thereby indicating that reversal distance provides a good separation between related and nonrelated sequences in molecular evolution studies.