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Springer Patterns in Permutations and Words - Springer EATCS

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Description

Patterns in Permutations and Words explores a fascinating branch of combinatorics that has grown from foundational work in the 1970s by Rotem, Rogers, and Knuth. This Springer monograph in the EATCS series examines patterns within permutations and words, revealing deep connections to seemingly disparate mathematical fields including Kazhdan-Lusztig polynomials, Schubert variety singularities, interval orders, Chebyshev polynomials, statistical mechanics models, and sorting algorithms. The text provides a comprehensive treatment of how pattern analysis serves as a unifying language across theoretical computer science and pure mathematics, making it an essential resource for researchers, academics, and advanced students exploring combinatorial structures and their applications in algorithm design and algebraic geometry.

Key Features

Covers patterns in permutations and words as a modern combinatorics branch with historical roots in 1970s foundational research.

Connects pattern theory to Kazhdan-Lusztig polynomials and Schubert variety singularities in algebraic geometry.

Explores applications in interval orders, Chebyshev polynomials, and statistical mechanics models.

Includes analysis of sorting algorithms and their relationships to permutation patterns.

Part of Springer's Monographs in Theoretical Computer Science EATCS series for advanced academic study.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
01 September 2011
Listed Since
25 October 2010

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