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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
240 Combinatorics of Permutations, Second Edition
n
q
q
q
FIGURE 6.5
Random choices leading to the placement of n.
The entry n is placed as follows. First, a box in F denoted by q is chosen
at random. (Here, and throughout this proof, all eligible boxes have the same
chance to be chosen.) Then, q is moved to any of the other h
q
1 positions of
the original hook H
q
.Callthisnewboxq now. Then repeat the same for the
new q, that is, move it to a different position within the new H
q
,andcallthat
box q. Continue this until q becomes an inner corner,thatis,aboxwhose
hook consists of one box only, namely q itself. When that happens, place the
entry n into q.
Example ...
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Publisher Resources

ISBN: 9781439850527