Combinatorics of Compositions and Words

Heubach, Silvia; Mansour, Toufik

ISBN 10: 1420072676 / ISBN 13: 9781420072679

Edité par Chapman and Hall/CRC, 2009

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Détails bibliographiques

Titre : Combinatorics of Compositions and Words

Éditeur : Chapman and Hall/CRC

Date d'édition : 2009

Reliure : Couverture rigide

Etat : As New

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Synopsis :

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(TM) and Mathematica(R), as well as C++ to perform computations.

À propos de l?auteur:

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.