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Combinatorics [[electronic resource] /] / Russell Merris
| Combinatorics [[electronic resource] /] / Russell Merris |
| Autore | Merris Russell <1943-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley, c2003 |
| Descrizione fisica | 1 online resource (572 p.) |
| Disciplina |
511.6
511/.6 |
| Collana | Wiley-Interscience series in discrete mathematics and optimization |
| Soggetto topico | Combinatorial analysis |
| ISBN |
1-280-36620-6
9786610366200 0-470-34287-0 0-471-45849-X 0-471-44968-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Combinatorics Second Edition; Contents; Preface; Chapter 1 The Mathematics of Choice; 1.1. The Fundamental Counting Principle; 1.2. Pascal's Triangle; *1.3. Elementary Probability; *1.4. Error-Correcting Codes; 1.5. Combinatorial Identities; 1.6. Four Ways to Choose; 1.7. The Binomial and Multinomial Theorems; 1.8. Partitions; 1.9. Elementary Symmetric Functions; *1.10. Combinatorial Algorithms; Chapter 2 The Combinatorics of Finite Functions; 2.1. Stirling Numbers of the Second Kind; 2.2. Bells, Balls, and Urns; 2.3. The Principle of Inclusion and Exclusion; 2.4. Disjoint Cycles
2.5. Stirling Numbers of the First KindChapter 3 Pólya's Theory of Enumeration; 3.1. Function Composition; 3.2. Permutation Groups; 3.3. Burnside's Lemma; 3.4. Symmetry Groups; 3.5. Color Patterns; 3.6. Pólya's Theorem; 3.7. The Cycle Index Polynomial; Chapter 4 Generating Functions; 4.1. Difference Sequences; 4.2. Ordinary Generating Functions; 4.3. Applications of Generating Functions; 4.4. Exponential Generating Functions; 4.5. Recursive Techniques; Chapter 5 Enumeration in Graphs; 5.1. The Pigeonhole Principle; *5.2. Edge Colorings and Ramsey Theory; 5.3. Chromatic Polynomials *5.4. Planar Graphs5.5. Matching Polynomials; 5.6. Oriented Graphs; 5.7. Graphic Partitions; Chapter 6 Codes and Designs; 6.1. Linear Codes; 6.2. Decoding Algorithms; 6.3. Latin Squares; 6.4. Balanced Incomplete Block Designs; Appendix A1 Symmetric Polynomials; Appendix A2 Sorting Algorithms; Appendix A3 Matrix Theory; Bibliography; Hints and Answers to Selected Odd-Numbered Exercises; Index of Notation; Index |
| Record Nr. | UNINA-9910143213103321 |
Merris Russell <1943->
|
||
| Hoboken, N.J., : John Wiley, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorics [[electronic resource] /] / Russell Merris
| Combinatorics [[electronic resource] /] / Russell Merris |
| Autore | Merris Russell <1943-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley, c2003 |
| Descrizione fisica | 1 online resource (572 p.) |
| Disciplina |
511.6
511/.6 |
| Collana | Wiley-Interscience series in discrete mathematics and optimization |
| Soggetto topico | Combinatorial analysis |
| ISBN |
1-280-36620-6
9786610366200 0-470-34287-0 0-471-45849-X 0-471-44968-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Combinatorics Second Edition; Contents; Preface; Chapter 1 The Mathematics of Choice; 1.1. The Fundamental Counting Principle; 1.2. Pascal's Triangle; *1.3. Elementary Probability; *1.4. Error-Correcting Codes; 1.5. Combinatorial Identities; 1.6. Four Ways to Choose; 1.7. The Binomial and Multinomial Theorems; 1.8. Partitions; 1.9. Elementary Symmetric Functions; *1.10. Combinatorial Algorithms; Chapter 2 The Combinatorics of Finite Functions; 2.1. Stirling Numbers of the Second Kind; 2.2. Bells, Balls, and Urns; 2.3. The Principle of Inclusion and Exclusion; 2.4. Disjoint Cycles
2.5. Stirling Numbers of the First KindChapter 3 Pólya's Theory of Enumeration; 3.1. Function Composition; 3.2. Permutation Groups; 3.3. Burnside's Lemma; 3.4. Symmetry Groups; 3.5. Color Patterns; 3.6. Pólya's Theorem; 3.7. The Cycle Index Polynomial; Chapter 4 Generating Functions; 4.1. Difference Sequences; 4.2. Ordinary Generating Functions; 4.3. Applications of Generating Functions; 4.4. Exponential Generating Functions; 4.5. Recursive Techniques; Chapter 5 Enumeration in Graphs; 5.1. The Pigeonhole Principle; *5.2. Edge Colorings and Ramsey Theory; 5.3. Chromatic Polynomials *5.4. Planar Graphs5.5. Matching Polynomials; 5.6. Oriented Graphs; 5.7. Graphic Partitions; Chapter 6 Codes and Designs; 6.1. Linear Codes; 6.2. Decoding Algorithms; 6.3. Latin Squares; 6.4. Balanced Incomplete Block Designs; Appendix A1 Symmetric Polynomials; Appendix A2 Sorting Algorithms; Appendix A3 Matrix Theory; Bibliography; Hints and Answers to Selected Odd-Numbered Exercises; Index of Notation; Index |
| Record Nr. | UNINA-9910830431103321 |
|
Merris Russell <1943->
|
||
| Hoboken, N.J., : John Wiley, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorics [[electronic resource] /] / Russell Merris
| Combinatorics [[electronic resource] /] / Russell Merris |
| Autore | Merris Russell <1943-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley, c2003 |
| Descrizione fisica | 1 online resource (572 p.) |
| Disciplina |
511.6
511/.6 |
| Collana | Wiley-Interscience series in discrete mathematics and optimization |
| Soggetto topico | Combinatorial analysis |
| ISBN |
1-280-36620-6
9786610366200 0-470-34287-0 0-471-45849-X 0-471-44968-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Combinatorics Second Edition; Contents; Preface; Chapter 1 The Mathematics of Choice; 1.1. The Fundamental Counting Principle; 1.2. Pascal's Triangle; *1.3. Elementary Probability; *1.4. Error-Correcting Codes; 1.5. Combinatorial Identities; 1.6. Four Ways to Choose; 1.7. The Binomial and Multinomial Theorems; 1.8. Partitions; 1.9. Elementary Symmetric Functions; *1.10. Combinatorial Algorithms; Chapter 2 The Combinatorics of Finite Functions; 2.1. Stirling Numbers of the Second Kind; 2.2. Bells, Balls, and Urns; 2.3. The Principle of Inclusion and Exclusion; 2.4. Disjoint Cycles
2.5. Stirling Numbers of the First KindChapter 3 Pólya's Theory of Enumeration; 3.1. Function Composition; 3.2. Permutation Groups; 3.3. Burnside's Lemma; 3.4. Symmetry Groups; 3.5. Color Patterns; 3.6. Pólya's Theorem; 3.7. The Cycle Index Polynomial; Chapter 4 Generating Functions; 4.1. Difference Sequences; 4.2. Ordinary Generating Functions; 4.3. Applications of Generating Functions; 4.4. Exponential Generating Functions; 4.5. Recursive Techniques; Chapter 5 Enumeration in Graphs; 5.1. The Pigeonhole Principle; *5.2. Edge Colorings and Ramsey Theory; 5.3. Chromatic Polynomials *5.4. Planar Graphs5.5. Matching Polynomials; 5.6. Oriented Graphs; 5.7. Graphic Partitions; Chapter 6 Codes and Designs; 6.1. Linear Codes; 6.2. Decoding Algorithms; 6.3. Latin Squares; 6.4. Balanced Incomplete Block Designs; Appendix A1 Symmetric Polynomials; Appendix A2 Sorting Algorithms; Appendix A3 Matrix Theory; Bibliography; Hints and Answers to Selected Odd-Numbered Exercises; Index of Notation; Index |
| Record Nr. | UNINA-9910840609803321 |
|
Merris Russell <1943->
|
||
| Hoboken, N.J., : John Wiley, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Graph theory [[electronic resource] /] / Russell Merris
| Graph theory [[electronic resource] /] / Russell Merris |
| Autore | Merris Russell <1943-> |
| Pubbl/distr/stampa | New York, : John Wiley, c2001 |
| Descrizione fisica | xi, 237 p. : ill |
| Disciplina | 511/.5 |
| Collana | Wiley-Interscience series in discrete mathematics and optimization |
| Soggetto topico | Graph theory |
| ISBN |
1-118-03129-6
9786613281128 1-283-28112-0 1-118-03304-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910137563003321 |
|
Merris Russell <1943->
|
||
| New York, : John Wiley, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Graph theory [[electronic resource] /] / Russell Merris
| Graph theory [[electronic resource] /] / Russell Merris |
| Autore | Merris Russell <1943-> |
| Pubbl/distr/stampa | New York, : John Wiley, c2001 |
| Descrizione fisica | xi, 237 p. : ill |
| Disciplina | 511/.5 |
| Collana | Wiley-Interscience series in discrete mathematics and optimization |
| Soggetto topico | Graph theory |
| ISBN |
1-118-03129-6
9786613281128 1-283-28112-0 1-118-03304-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910829804303321 |
|
Merris Russell <1943->
|
||
| New York, : John Wiley, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Graph theory [[electronic resource] /] / Russell Merris
| Graph theory [[electronic resource] /] / Russell Merris |
| Autore | Merris Russell <1943-> |
| Pubbl/distr/stampa | New York, : John Wiley, c2001 |
| Descrizione fisica | xi, 237 p. : ill |
| Disciplina | 511/.5 |
| Collana | Wiley-Interscience series in discrete mathematics and optimization |
| Soggetto topico | Graph theory |
| ISBN |
1-118-03129-6
9786613281128 1-283-28112-0 1-118-03304-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910841671803321 |
|
Merris Russell <1943->
|
||
| New York, : John Wiley, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||