Combinatorics of Compositions and Words

Combinatorics of Compositions and Words

EnglishPaperback / softbackPrint on demand
Heubach Silvia
Taylor & Francis Ltd
EAN: 9781138116672
Print on demand
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Detailed information

A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Directions

Focusing on a very active area of research in the last decade, Combinatorics of Compositions and Words provides an introduction to the methods used in the combinatorics of pattern avoidance and pattern enumeration in compositions and words. It also presents various tools and approaches that are applicable to other areas of enumerative combinatorics.

After a historical perspective on research in the area, the text introduces techniques to solve recurrence relations, including iteration and generating functions. It then focuses on enumeration of basic statistics for compositions. The text goes on to present results on pattern avoidance for subword, subsequence, and generalized patterns in compositions and then applies these results to words. The authors also cover automata, the ECO method, generating trees, and asymptotic results via random compositions and complex analysis.

Highlighting both established and new results, this book explores numerous tools for enumerating patterns in compositions and words. It includes a comprehensive bibliography and incorporates the use of the computer algebra systems Maple™ and Mathematica®, as well as C++ to perform computations.

EAN 9781138116672
ISBN 113811667X
Binding Paperback / softback
Publisher Taylor & Francis Ltd
Publication date June 14, 2017
Pages 504
Language English
Dimensions 234 x 156
Country United Kingdom
Readership Professional & Scholarly
Authors Heubach Silvia; Mansour Toufik
Illustrations 38 Tables, black and white; 50 Illustrations, black and white
Series Discrete Mathematics and Its Applications
Manufacturer information
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