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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
List of Frequently Used Notation
A(n, k)numberofn-permutations with k 1 descents
c(n, k)numberofn-permutations with k cycles
d(p) number of descents of the permutation p
i(p) number of inversions of the permutation p
I
n
(q) number of involutions of length n avoiding the pattern q
n! n(n 1) ···1
n
k
n!
k!(nk)!
[n] {1, 2, ···,n}
[n] q
n1
+ q
n2
+ ···+1
[n]! [n][n 1] ···[1]
n
k
[n]!
[k]![nk]!
(n)
m
n(n 1) ···(n m +1)
p(n) number of partitions of the integer n
S
n
set of all n-permutations
S
n
(q)numberofn-permutations avoiding the pattern q
S
n,r
(q)numberofn-permutations containing exactly r copies of q
S(n, k) number of partitions ...
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Publisher Resources

ISBN: 9781439850527