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Scale-free networks [[electronic resource] ] : complex webs in nature and technology / / Guido Caldarelli
| Scale-free networks [[electronic resource] ] : complex webs in nature and technology / / Guido Caldarelli |
| Autore | Caldarelli Guido |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
| Descrizione fisica | 1 online resource (324 p.) |
| Disciplina | 003 |
| Collana | Oxford Finance Series |
| Soggetto topico |
System analysis
System theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-19-966517-6
0-19-152634-7 1-281-16083-0 9786611160838 1-4294-9267-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; I: DEFINITIONS AND METHODOLOGY; 1. Introduction to graphs; 1.1 Graphs, directed graphs, and weighted graphs; 1.2 Trees; 1.3 Vertex correlation, assortativity; 1.4 Hierarchical properties of graphs; 1.5 The properties of scale-free networks; 2. Graph structures: communities; 2.1 Introduction; 2.2 Typical subgraphs, motifs; 2.3 Classes of vertices; 2.4 Centrality measures, betweenness, and robustness; 2.5 Clustering detection, modularity; 2.6 Communities in graphs; 3. Scale-invariance; 3.1 Geometrical scale-invariance: fractals; 3.2 Measuring the fractal dimension
3.3 Scale-invariance and power laws3.4 Plotting a power law; 3.5 Scale-invariance in natural sciences; 3.6 Scale-invariance in economics and in social sciences; 4. The origin of power-law functions; 4.1 Random walk, Laplace equation, and fractals; 4.2 Power laws from minimization principles; 4.3 Multiplicative processes and normal distribution; 4.4 Preferential attachment, the Matthew effect; 5. Graph generating models; 5.1 Random graph model; 5.2 The small-world model; 5.3 The Barabási-Albert model; 5.4 Modifications to the Barabási-Albert model; 5.5 Copying models; 5.6 Fitness based model 5.7 Graph from optimization principlesII: EXAMPLES; 6. Networks in the cell; 6.1 Basic cell biology; 6.2 Protein-protein interaction network; 6.3 Metabolic pathways; 6.4 Gene regulatory networks; 7. Geophysical networks; 7.1 Satellite images and digital elevation models; 7.2 Geometrical scale invariance for river networks; 7.3 Scaling relations for river networks; 7.4 River networks models; 7.5 River networks on Mars' surface; 8. Ecological networks; 8.1 Species and evolution; 8.2 Food webs: a very particular case of network; 8.3 Food web quantities; 8.4 Classifications of species 8.5 Yule process for taxonomies9. Technological networks: Internet and WWW; 9.1 The Internet protocols; 9.2 The geography of the Internet; 9.3 The autonomous systems; 9.4 The scale-invariance in the Internet; 9.5 The World Wide Web; 9.6 Searching the web; 9.7 Statistical measures of the Web; 9.8 E-mail networks; 10. Social and cognitive networks; 10.1 Networks of scientific papers; 10.2 Contact networks; 10.3 Linguistic networks; 10.4 Wikipedia; 11. Financial networks; 11.1 Board of directors; 11.2 Stock networks; 11.3 Bank networks; 11.4 The world trade web; III: APPENDICES; A. Glossary; A BC; D; E; F; G; H; I; L; M; N; O; P; R; S; T; V; W; B. Graph quantities; B.1 Basics; B.2 Different kinds of graphs; B.3 Paths, cycles, and trees; C. Basic statistics; C.1 Events and probability; C.2 Probability densities and distributions; C.3 Working with statistical distributions; C.4 Statistical properties of weighted networks; D. Matrices and eigenvectors; E. Population dynamics; E.1 Population dynamics; Bibliography; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; R; S; T; V; W; Y; Z |
| Record Nr. | UNINA-9910464861603321 |
Caldarelli Guido
|
||
| Oxford, : Oxford University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Scale-free networks [[electronic resource] ] : complex webs in nature and technology / / Guido Caldarelli
| Scale-free networks [[electronic resource] ] : complex webs in nature and technology / / Guido Caldarelli |
| Autore | Caldarelli Guido |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
| Descrizione fisica | xiv, 309 p. : ill |
| Soggetto topico |
System analysis
System theory |
| ISBN |
9780191526343
0191526347 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910795846503321 |
|
Caldarelli Guido
|
||
| Oxford, : Oxford University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Scale-free networks : complex webs in nature and technology / / Guido Caldarelli
| Scale-free networks : complex webs in nature and technology / / Guido Caldarelli |
| Autore | Caldarelli Guido |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
| Descrizione fisica | xiv, 309 p. : ill |
| Disciplina | 003 |
| Collana | Oxford Finance Ser. |
| Soggetto topico |
System analysis
System theory |
| ISBN |
9780191526343
0191526347 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- I: DEFINITIONS AND METHODOLOGY -- 1. Introduction to graphs -- 1.1 Graphs, directed graphs, and weighted graphs -- 1.2 Trees -- 1.3 Vertex correlation, assortativity -- 1.4 Hierarchical properties of graphs -- 1.5 The properties of scale-free networks -- 2. Graph structures: communities -- 2.1 Introduction -- 2.2 Typical subgraphs, motifs -- 2.3 Classes of vertices -- 2.4 Centrality measures, betweenness, and robustness -- 2.5 Clustering detection, modularity -- 2.6 Communities in graphs -- 3. Scale-invariance -- 3.1 Geometrical scale-invariance: fractals -- 3.2 Measuring the fractal dimension -- 3.3 Scale-invariance and power laws -- 3.4 Plotting a power law -- 3.5 Scale-invariance in natural sciences -- 3.6 Scale-invariance in economics and in social sciences -- 4. The origin of power-law functions -- 4.1 Random walk, Laplace equation, and fractals -- 4.2 Power laws from minimization principles -- 4.3 Multiplicative processes and normal distribution -- 4.4 Preferential attachment, the Matthew effect -- 5. Graph generating models -- 5.1 Random graph model -- 5.2 The small-world model -- 5.3 The Barabási-Albert model -- 5.4 Modifications to the Barabási-Albert model -- 5.5 Copying models -- 5.6 Fitness based model -- 5.7 Graph from optimization principles -- II: EXAMPLES -- 6. Networks in the cell -- 6.1 Basic cell biology -- 6.2 Protein-protein interaction network -- 6.3 Metabolic pathways -- 6.4 Gene regulatory networks -- 7. Geophysical networks -- 7.1 Satellite images and digital elevation models -- 7.2 Geometrical scale invariance for river networks -- 7.3 Scaling relations for river networks -- 7.4 River networks models -- 7.5 River networks on Mars' surface -- 8. Ecological networks -- 8.1 Species and evolution -- 8.2 Food webs: a very particular case of network -- 8.3 Food web quantities.
8.4 Classifications of species -- 8.5 Yule process for taxonomies -- 9. Technological networks: Internet and WWW -- 9.1 The Internet protocols -- 9.2 The geography of the Internet -- 9.3 The autonomous systems -- 9.4 The scale-invariance in the Internet -- 9.5 The World Wide Web -- 9.6 Searching the web -- 9.7 Statistical measures of the Web -- 9.8 E-mail networks -- 10. Social and cognitive networks -- 10.1 Networks of scientific papers -- 10.2 Contact networks -- 10.3 Linguistic networks -- 10.4 Wikipedia -- 11. Financial networks -- 11.1 Board of directors -- 11.2 Stock networks -- 11.3 Bank networks -- 11.4 The world trade web -- III: APPENDICES -- A. Glossary -- A -- B -- C -- D -- E -- F -- G -- H -- I -- L -- M -- N -- O -- P -- R -- S -- T -- V -- W -- B. Graph quantities -- B.1 Basics -- B.2 Different kinds of graphs -- B.3 Paths, cycles, and trees -- C. Basic statistics -- C.1 Events and probability -- C.2 Probability densities and distributions -- C.3 Working with statistical distributions -- C.4 Statistical properties of weighted networks -- D. Matrices and eigenvectors -- E. Population dynamics -- E.1 Population dynamics -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- R -- S -- T -- V -- W -- Y -- Z. |
| Record Nr. | UNINA-9910974187103321 |
|
Caldarelli Guido
|
||
| Oxford, : Oxford University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||