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Patterns in Permutations and Words

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ISBN-10: 3642173330

ISBN-13: 9783642173332

Edition: 2011

Authors: Sergey Kitaev

List price: $219.00
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Description:

There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, including sorting stacks and sortable permutations.The author collects the main results in the field in…    
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Book details

List price: $219.00
Copyright year: 2011
Publisher: Springer
Publication date: 8/30/2011
Binding: E-Book 
Pages: 494
Language: English

The author is an associate professor in the Department of Mathematics of Reykjavík University;  his main research interests are enumerative and algebraic combinatorics, combinatorics on words, discrete analysis, graph theory and formal languages.Â