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Books > Computing & IT > General theory of computing > Data structures
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Combinatorics of Compositions and Words (Paperback)
Loot Price: R2,371
Discovery Miles 23 710
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Combinatorics of Compositions and Words (Paperback)
Series: Discrete Mathematics and Its Applications
Expected to ship within 10 - 15 working days
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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.
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