Genomes as Permutations
Guillaume Fertin, Anthony Labarre, Irena Rusu, Éric Tannier, Steéphane Vialette
Abstract
Guillaume Fertin, Anthony Labarre, Irena Rusu, Éric Tannier, Steéphane Vialette
Abstract
Permutations were the first mathematical objects to serve as formal models for studying arrangements of DNA fragments among several species. This chapter discusses the following: the symmetric group; the cycles of a permutation; signed permutations; distances on permutation groups; circular permutations; and first measures of similarity between permutations.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Permutations were the first mathematical objects to serve as formal models for studying arrangements of DNA fragments among several species. This chapter discusses the following: the symmetric group; the cycles of a permutation; signed permutations; distances on permutation groups; circular permutations; and first measures of similarity between permutations.
Key concepts: Permutation (music), Permutation group, Parity of a permutation, Combinatorics, Symmetric group, Similarity (geometry), Mathematics, Genome