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Combinatorics of permutations

Author: Miklós Bóna
Publisher: Boca Raton : Chapman & Hall/CRC, ©2004.
Series: Discrete mathematics and its applications.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Combinatorics of Permutations offers the first comprehensive, up-to-date treatment of both enumerative and extremal combinatorics and looks at permutation as both linear orders and as elements of the symmetric group. Filled with applications from a variety of fields and exercises that draw upon recent research results, this book serves equally well as a graduate-level text and a reference for combinatorics  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Miklós Bóna
ISBN: 1584884347 9781584884347
OCLC Number: 54931629
Description: 383 pages : illustrations ; 25 cm.
Contents: In one line and close : permutations as linear orders : runs --
In one line and anywhere : permutations as linear orders : inversions --
In many circles : permutations as products of cycles --
In any way but this : pattern avoidance : the basics --
In this way, but nicely : pattern avoidance : followup --
Mean and insensitive : random permutations --
Permutations vs. everything else : algebraic combinatorics of permutations --
Get them all : algorithms and permutations.
Series Title: Discrete mathematics and its applications.
Responsibility: Miklós Bóna.
More information:

Abstract:

As linear orders, as elements of the symmetric group, modeled by matrices, modeled by graphs, permutations are omnipresent in modern combinatorics. They are also multifaceted. This book offers a  Read more...

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"We found the author's explanations very clear, and there is an abundance of useful examples and helpful figures ... There is a rich bibliography for those seeking more information or full proofs of Read more...

 
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