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Introduction to enumerative and analytic combinatorics / Miklos Bona.

By: Material type: TextTextSeries: Discrete mathematics and its applicationsPublication details: Boca Raton : CRC Press, ©2016.Edition: 2nd edDescription: xxii, 534 p. : illustrations ; 24 cmISBN:
  • 9781482249095 (hbk. : acidfree paper)
Subject(s): DDC classification:
  • 511.6 23 B697
Contents:
1. Basic methods -- 2. Applications of basic methods -- 3. Generating functions -- 4. Counting permutations -- 5. Counting graphs -- 6. Extremal combinatiorics -- 7. Analytic combinatorics -- 8. Symmetric structures -- 9. Sequences in combinatorics -- Appendix.
Summary: The book first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the text discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares.
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Includes bibliographical references and index.

1. Basic methods --
2. Applications of basic methods --
3. Generating functions --
4. Counting permutations --
5. Counting graphs --
6. Extremal combinatiorics --
7. Analytic combinatorics --
8. Symmetric structures --
9. Sequences in combinatorics --
Appendix.

The book first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the text discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares.

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