Overview
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 this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology.
Full Product Details
Author: Sergey Kitaev
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2011 ed.
Dimensions:
Width: 15.50cm
, Height: 2.80cm
, Length: 23.50cm
Weight: 0.934kg
ISBN: 9783642173325
ISBN 10: 3642173322
Pages: 494
Publication Date: 01 September 2011
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Out of stock
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Reviews
From the reviews: The monograph provides probably a first comprehensive overview of a vivid area of pattern observations, forming itself a common tool for various fields of mathematics. Containing a list of 816 references to recent and older literature, it has a good chance to become a handbook and a useful guide to results and techniques in the area. (Anton Cerny, Zentralblatt MATH, Vol. 1257, 2013)
Author Information
The author is a Reader in the Department of Computer and Information Sciences at the University of Strathclyde; his main research interests are enumerative and algebraic combinatorics, combinatorics on words, discrete analysis, graph theory and formal languages.
