Combinatorics of Compositions and Words (Discrete Mathematics and Its Applications) - Tapa blanda

Heubach, Silvia

 
9781138116672: Combinatorics of Compositions and Words (Discrete Mathematics and Its Applications)
Tapa blanda
ISBN 10: 113811667X ISBN 13: 9781138116672
Editorial: Routledge, 2017

Sinopsis

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.

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Acerca del autor

Silvia Heubach is a Professor and the Chair of the Department of Mathematics at the California State University, Los Angeles, where she received the Outstanding Professor Award in 1999/2000.

Toufik Mansour is an Associate Professor at the University of Haifa. The author or co-author of more than 60 papers, Professor Mansour’s general research interest is in discrete mathematics and its applications, with an emphasis on pattern avoidance problems.

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Editorial
Routledge
Año de publicación
2017
Idioma
Inglés
ISBN 10 
113811667X
ISBN 13 
9781138116672
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
504
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9781420072679: Combinatorics of Compositions and Words (Discrete Mathematics and Its Applications)

Edición Destacada

ISBN 10:  1420072676 ISBN 13:  9781420072679
Editorial: Chapman and Hall/CRC, 2009
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