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Handbook of graphs and networks [[electronic resource] ] : from the Genome to the Internet / / Stefan Bornholdt, Heinz Georg Schuster (eds.)
| Handbook of graphs and networks [[electronic resource] ] : from the Genome to the Internet / / Stefan Bornholdt, Heinz Georg Schuster (eds.) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 |
| Descrizione fisica | 1 online resource (419 p.) |
| Disciplina |
003
511.5 |
| Altri autori (Persone) |
BornholdtStefan
SchusterHeinz Georg <1943-> |
| Soggetto topico |
System analysis
Graph theory Combinatorial analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-52099-X
9786610520992 3-527-60633-5 3-527-60275-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Handbook of Graphs and Networks From the Genome to the Internet; Preface; Contents; List of contributors; 1 Mathematical results on scale-free random graphs; 1.1 Introduction; 1.2 Classical models of random graphs; 1.3 Results for classical random graphs; 1.4 The Watts-Strogatz 'small-world' model; 1.5 Scale-free models; 1.6 The Barabási-Albert model; 1.7 The LCD model and G((n))(m); 1.8 The Buckley-Osthus model; 1.9 The copying model; 1.10 The Cooper-Frieze model; 1.11 Directed scale-free graphs; 1.12 Clustering coefficient and small subgraphs
1.13 Pairings on [0, 1] and the diameter of the LCD model1.14 Robustness and vulnerability; 1.15 The case [0, 1]: plane-oriented recursive trees; 1.16 Conclusion; References; 2 Random graphs as models of networks; 2.1 Introduction; 2.2 Random graphs with specified degree distributions; 2.3 Probability generating functions; 2.3.1 Properties of generating functions; 2.3.2 Examples; 2.4 Properties of undirected graphs; 2.4.1 Distribution of component sizes; 2.4.2 Mean component size; 2.4.3 Above the phase transition; 2.5 Properties of directed graphs; 2.5.1 Generating functions; 2.5.2 Results 2.6 Networks with clustering2.7 Models defined on random graphs; 2.7.1 Network resilience; 2.7.2 Epidemiology; 2.7.3 The SIR model; 2.7.4 Solution of the SIR model; 2.8 Summary; References; 3 Emergence of scaling in complex networks; 3.1 Introduction; 3.2 Network models; 3.2.1 Random networks; 3.2.2 Scale-free networks; 3.2.3 Scale-free model; 3.3 Fitness model and Bose-Einstein condensation; 3.4 The Achilles' Heel of complex networks; 3.5 A deterministic scale-free model; 3.6 Outlook; 3.7 Acknowledgments; References; 4 Structural properties of scale-free networks; 4.1 Introduction 4.1.1 Random graphs4.1.2 Scale-free networks; 4.2 Small and Ultra-small worlds; 4.2.1 Diameter of scale-free networks; 4.2.2 Minimal graphs and lower bound; 4.2.3 The general case of random scale-free networks; 4.3 Percolation; 4.3.1 Random breakdown; 4.3.2 Percolation critical threshold; 4.3.3 Generating functions; 4.3.4 Intentional attack; 4.3.5 Critical exponents; 4.3.6 Fractal dimension; 4.4 Percolation in directed networks; 4.4.1 Threshold; 4.4.2 Critical exponents; 4.5 Efficient immunization strategies; 4.5.1 Acquaintance immunization; 4.6 Summary and outlook; References 5 Epidemics and immunization in scale-free networks5.1 Introduction; 5.2 Computers and epidemiology; 5.3 Epidemic spreading in homogeneous networks; 5.4 Real data analysis; 5.5 Epidemic spreading in scale-free networks; 5.5.1 Analytic solution for the Barabási-Albert network; 5.5.2 Finite size scale-free networks; 5.6 Immunization of scale-free networks; 5.6.1 Uniform immunization; 5.6.2 Targeted immunization; 5.7 Conclusions; References; 6 Cells and genes as networks in nematode development and evolution; 6.1 Introduction 6.2 Nematode developmental biology: studying processes at a cellular level |
| Record Nr. | UNINA-9910145913003321 |
| Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Handbook of graphs and networks [[electronic resource] ] : from the Genome to the Internet / / Stefan Bornholdt, Heinz Georg Schuster (eds.)
| Handbook of graphs and networks [[electronic resource] ] : from the Genome to the Internet / / Stefan Bornholdt, Heinz Georg Schuster (eds.) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 |
| Descrizione fisica | 1 online resource (419 p.) |
| Disciplina |
003
511.5 |
| Altri autori (Persone) |
BornholdtStefan
SchusterHeinz Georg <1943-> |
| Soggetto topico |
System analysis
Graph theory Combinatorial analysis |
| ISBN |
1-280-52099-X
9786610520992 3-527-60633-5 3-527-60275-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Handbook of Graphs and Networks From the Genome to the Internet; Preface; Contents; List of contributors; 1 Mathematical results on scale-free random graphs; 1.1 Introduction; 1.2 Classical models of random graphs; 1.3 Results for classical random graphs; 1.4 The Watts-Strogatz 'small-world' model; 1.5 Scale-free models; 1.6 The Barabási-Albert model; 1.7 The LCD model and G((n))(m); 1.8 The Buckley-Osthus model; 1.9 The copying model; 1.10 The Cooper-Frieze model; 1.11 Directed scale-free graphs; 1.12 Clustering coefficient and small subgraphs
1.13 Pairings on [0, 1] and the diameter of the LCD model1.14 Robustness and vulnerability; 1.15 The case [0, 1]: plane-oriented recursive trees; 1.16 Conclusion; References; 2 Random graphs as models of networks; 2.1 Introduction; 2.2 Random graphs with specified degree distributions; 2.3 Probability generating functions; 2.3.1 Properties of generating functions; 2.3.2 Examples; 2.4 Properties of undirected graphs; 2.4.1 Distribution of component sizes; 2.4.2 Mean component size; 2.4.3 Above the phase transition; 2.5 Properties of directed graphs; 2.5.1 Generating functions; 2.5.2 Results 2.6 Networks with clustering2.7 Models defined on random graphs; 2.7.1 Network resilience; 2.7.2 Epidemiology; 2.7.3 The SIR model; 2.7.4 Solution of the SIR model; 2.8 Summary; References; 3 Emergence of scaling in complex networks; 3.1 Introduction; 3.2 Network models; 3.2.1 Random networks; 3.2.2 Scale-free networks; 3.2.3 Scale-free model; 3.3 Fitness model and Bose-Einstein condensation; 3.4 The Achilles' Heel of complex networks; 3.5 A deterministic scale-free model; 3.6 Outlook; 3.7 Acknowledgments; References; 4 Structural properties of scale-free networks; 4.1 Introduction 4.1.1 Random graphs4.1.2 Scale-free networks; 4.2 Small and Ultra-small worlds; 4.2.1 Diameter of scale-free networks; 4.2.2 Minimal graphs and lower bound; 4.2.3 The general case of random scale-free networks; 4.3 Percolation; 4.3.1 Random breakdown; 4.3.2 Percolation critical threshold; 4.3.3 Generating functions; 4.3.4 Intentional attack; 4.3.5 Critical exponents; 4.3.6 Fractal dimension; 4.4 Percolation in directed networks; 4.4.1 Threshold; 4.4.2 Critical exponents; 4.5 Efficient immunization strategies; 4.5.1 Acquaintance immunization; 4.6 Summary and outlook; References 5 Epidemics and immunization in scale-free networks5.1 Introduction; 5.2 Computers and epidemiology; 5.3 Epidemic spreading in homogeneous networks; 5.4 Real data analysis; 5.5 Epidemic spreading in scale-free networks; 5.5.1 Analytic solution for the Barabási-Albert network; 5.5.2 Finite size scale-free networks; 5.6 Immunization of scale-free networks; 5.6.1 Uniform immunization; 5.6.2 Targeted immunization; 5.7 Conclusions; References; 6 Cells and genes as networks in nematode development and evolution; 6.1 Introduction 6.2 Nematode developmental biology: studying processes at a cellular level |
| Record Nr. | UNINA-9910830019403321 |
| Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Handbook of graphs and networks : from the Genome to the Internet / / Stefan Bornholdt, Heinz Georg Schuster (eds.)
| Handbook of graphs and networks : from the Genome to the Internet / / Stefan Bornholdt, Heinz Georg Schuster (eds.) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 |
| Descrizione fisica | 1 online resource (419 p.) |
| Disciplina |
003
511.5 |
| Altri autori (Persone) |
BornholdtStefan
SchusterHeinz Georg <1943-> |
| Soggetto topico |
System analysis
Graph theory Combinatorial analysis |
| ISBN |
1-280-52099-X
9786610520992 3-527-60633-5 3-527-60275-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Handbook of Graphs and Networks From the Genome to the Internet; Preface; Contents; List of contributors; 1 Mathematical results on scale-free random graphs; 1.1 Introduction; 1.2 Classical models of random graphs; 1.3 Results for classical random graphs; 1.4 The Watts-Strogatz 'small-world' model; 1.5 Scale-free models; 1.6 The Barabási-Albert model; 1.7 The LCD model and G((n))(m); 1.8 The Buckley-Osthus model; 1.9 The copying model; 1.10 The Cooper-Frieze model; 1.11 Directed scale-free graphs; 1.12 Clustering coefficient and small subgraphs
1.13 Pairings on [0, 1] and the diameter of the LCD model1.14 Robustness and vulnerability; 1.15 The case [0, 1]: plane-oriented recursive trees; 1.16 Conclusion; References; 2 Random graphs as models of networks; 2.1 Introduction; 2.2 Random graphs with specified degree distributions; 2.3 Probability generating functions; 2.3.1 Properties of generating functions; 2.3.2 Examples; 2.4 Properties of undirected graphs; 2.4.1 Distribution of component sizes; 2.4.2 Mean component size; 2.4.3 Above the phase transition; 2.5 Properties of directed graphs; 2.5.1 Generating functions; 2.5.2 Results 2.6 Networks with clustering2.7 Models defined on random graphs; 2.7.1 Network resilience; 2.7.2 Epidemiology; 2.7.3 The SIR model; 2.7.4 Solution of the SIR model; 2.8 Summary; References; 3 Emergence of scaling in complex networks; 3.1 Introduction; 3.2 Network models; 3.2.1 Random networks; 3.2.2 Scale-free networks; 3.2.3 Scale-free model; 3.3 Fitness model and Bose-Einstein condensation; 3.4 The Achilles' Heel of complex networks; 3.5 A deterministic scale-free model; 3.6 Outlook; 3.7 Acknowledgments; References; 4 Structural properties of scale-free networks; 4.1 Introduction 4.1.1 Random graphs4.1.2 Scale-free networks; 4.2 Small and Ultra-small worlds; 4.2.1 Diameter of scale-free networks; 4.2.2 Minimal graphs and lower bound; 4.2.3 The general case of random scale-free networks; 4.3 Percolation; 4.3.1 Random breakdown; 4.3.2 Percolation critical threshold; 4.3.3 Generating functions; 4.3.4 Intentional attack; 4.3.5 Critical exponents; 4.3.6 Fractal dimension; 4.4 Percolation in directed networks; 4.4.1 Threshold; 4.4.2 Critical exponents; 4.5 Efficient immunization strategies; 4.5.1 Acquaintance immunization; 4.6 Summary and outlook; References 5 Epidemics and immunization in scale-free networks5.1 Introduction; 5.2 Computers and epidemiology; 5.3 Epidemic spreading in homogeneous networks; 5.4 Real data analysis; 5.5 Epidemic spreading in scale-free networks; 5.5.1 Analytic solution for the Barabási-Albert network; 5.5.2 Finite size scale-free networks; 5.6 Immunization of scale-free networks; 5.6.1 Uniform immunization; 5.6.2 Targeted immunization; 5.7 Conclusions; References; 6 Cells and genes as networks in nematode development and evolution; 6.1 Introduction 6.2 Nematode developmental biology: studying processes at a cellular level |
| Record Nr. | UNINA-9910876774403321 |
| Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||