- Title Pages
- Preface
- Acknowledgments
-
1 Introduction -
2 Genomes as Permutations -
3 Distances between Unsigned Permutations -
4 Distances between Signed Permutations -
5 Rearrangements of Partial Orders -
6 Graph-Theoretic and Linear Algebra Formulations -
7 Generalities -
8 Distances between Arbitrary Strings -
9 Distances between Balanced Strings -
III Multichromosomal Models -
10 Paths and Cycles -
11 Cycles of a Permutation -
12 Set Systems and the Syntenic Distance -
IV Multigenomic Models -
13 Median and Halving Problems -
14 Rearrangement Phylogenies -
15 Software -
16 Open Problems -
A Graph Theory -
B Complexity Theory - [UNTITLED]
- Glossary
- Bibliography
- Index
Set Systems and the Syntenic Distance
Set Systems and the Syntenic Distance
- Chapter:
- (p.181) 12 Set Systems and the Syntenic Distance
- Source:
- Combinatorics of Genome Rearrangements
- Author(s):
Guillaume Fertin
Anthony Labarre
Irena Rusu
Eric Tannier
Steéphane Vialette
- Publisher:
- The MIT Press
This chapter presents models that deal with the case in which the order of the genes is unknown. While this assumption does not make sense for unichromosomal genomes, a distance between multichromosomal genomes can be studied, which takes into account only the data about which gene belongs to which chromosome. This distance is known as the syntenic distance. The discussions cover structural properties; lower bounds; diameter; algorithmic results; and conjectures and open problems.
Keywords: genes, chromosomes, multichromosomal genomes, syntenic distance
MIT Press Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
Please, subscribe or login to access full text content.
If you think you should have access to this title, please contact your librarian.
To troubleshoot, please check our FAQs, and if you can't find the answer there, please contact us.
- Title Pages
- Preface
- Acknowledgments
-
1 Introduction -
2 Genomes as Permutations -
3 Distances between Unsigned Permutations -
4 Distances between Signed Permutations -
5 Rearrangements of Partial Orders -
6 Graph-Theoretic and Linear Algebra Formulations -
7 Generalities -
8 Distances between Arbitrary Strings -
9 Distances between Balanced Strings -
III Multichromosomal Models -
10 Paths and Cycles -
11 Cycles of a Permutation -
12 Set Systems and the Syntenic Distance -
IV Multigenomic Models -
13 Median and Halving Problems -
14 Rearrangement Phylogenies -
15 Software -
16 Open Problems -
A Graph Theory -
B Complexity Theory - [UNTITLED]
- Glossary
- Bibliography
- Index