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    Combinatorics of Set Partitions

    Combinatorics of Set Partitions

    Af
    Bog E-bog
    • Format
    • Bog, hardback
    • Engelsk

    Beskrivelse

    Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Designed for students and researchers in discrete mathematics, the book is a one-stop reference on the results and research activities of set partitions from 1500 A.D. to today.

    Each chapter gives historical perspectives and contrasts different approaches, including generating functions, kernel method, block decomposition method, generating tree, and Wilf equivalences. Methods and definitions are illustrated with worked examples and Maple™ code. End-of-chapter problems often draw on data from published papers and the author’s extensive research in this field. The text also explores research directions that extend the results discussed. C++ programs and output tables are listed in the appendices and available for download on the author’s web page.

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    Detaljer
    • SprogEngelsk
    • Sidetal516
    • Udgivelsesdato27-07-2012
    • ISBN139781439863336
    • Forlag Chapman & Hall/CRC
    • FormatHardback
    Størrelse og vægt
  • Vægt975 g
    • coffee cup img
    10 cm
    book img
    15,6 cm
    23,4 cm

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    Feynman diagrams Gray Permutations Generating functions Pattern Stirling Class Formal Power Series Combinatorial Enumerative combinatorics Kernel method Code Gray code Dyck paths Paths DYCK Bell Number Boson Operators Canonical Representation block decomposition method Chebyshev Polynomial Combinatorial proofs combinatorics of pattern avoidance Exponential Generating Function discrete mathematics research Integer Partitions Explicit Formula generating tree Motzkin Paths pattern avoidance Generating function pattern enumeration in set partitions Recurrence Relation Singleton Block Set Partitions Rook Placements Subsequence Pattern subword Ordinary Generating Function Wilf equivalences Number Occurrences Stirling Number Subword Pattern set partitions from 1500 A.D. to today Set Pn
    Machine Name: SAXO080