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Combinatorics of Permutations, 2nd Edition
book

Combinatorics of Permutations, 2nd Edition

by Miklos Bona
April 2016
Intermediate to advanced content levelIntermediate to advanced
478 pages
14h 44m
English
Chapman and Hall/CRC
Content preview from Combinatorics of Permutations, 2nd Edition
9
How Did We Get Here? Permutations as
Genome Rearrangements.
9.1 Introduction
Let p and q be two permutations, written in one-line notation. In this section,
we will attempt to transform p into q using only certain kinds of allowed steps.
If k is the smallest integer so that p can be transformed into q using k legal
steps, then we say that the distance d(p, q)ofp and q is k.
The motivation for this research comes from molecular biology, where genomes
of various species can be modeled by permutations, and the distance between
these permutations can be interpreted as the evolutionary distance between
species. A classic paper of the field, [167] by Shridhar ...
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Publisher Resources

ISBN: 9781439850527