Evolution of networks: from biological nets to the Internet and WWW
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford University Press
2006
|
| Ausgabe: | 1. publ., repr. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 264 S. Ill., graph. Darst. |
| ISBN: | 0198515901 9780198515906 |
Internformat
MARC
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| 100 | 1 | |a Dorogovcev, Sergej N. |e Verfasser |0 (DE-588)143212338 |4 aut | |
| 245 | 1 | 0 | |a Evolution of networks |b from biological nets to the Internet and WWW |c S.N. Dorogovtsev ; J.F.F. Mendes |
| 250 | |a 1. publ., repr. | ||
| 264 | 1 | |a Oxford |b Oxford University Press |c 2006 | |
| 300 | |a IX, 264 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Computer networks | |
| 650 | 4 | |a Neural networks (Artificial intell) | |
| 650 | 4 | |a TK 5101-6600 Telecommunications | |
| 650 | 7 | |a Biologie |2 swd | |
| 650 | 7 | |a Entwicklung |2 swd | |
| 650 | 7 | |a Internet |2 swd | |
| 650 | 7 | |a Netzwerk <Graphentheorie> |2 swd | |
| 650 | 7 | |a Netzwerk |2 swd | |
| 650 | 7 | |a Rechnernetz |2 swd | |
| 650 | 7 | |a World Wide Web |2 swd | |
| 650 | 4 | |a Computer networks | |
| 650 | 4 | |a System analysis | |
| 650 | 4 | |a Information networks | |
| 650 | 0 | 7 | |a Entwicklung |0 (DE-588)4113450-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Netzwerk |g Graphentheorie |0 (DE-588)4705155-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Netzwerk |0 (DE-588)4171529-9 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1808134603824693248 |
|---|---|
| adam_text |
CONTENTS
0
Modern architecture of random graphs
1
1
What are networks?
6
1.1
Basic notions
6
1.2
Adjacency matrix
10
1.3
Degree distribution
10
1.4
Clustering
14
1.5
Small worlds
16
1.6
Giant components
19
1.7
List of basic constructions
22
1.8
List of main characteristics
23
2
Popularity is attractive
25
2.1
Attachment of edges without preference
25
2.2
Preferential linking
28
3
Real networks
31
3.1
Networks of citations of scientific papers
31
3.2
Communication networks: the WWW and the Internet
34
3.2.1
Structure of the WWW
35
3.2.2
Search in the WWW
45
3.2.3
Structure of the Internet
46
3.3
Networks of collaborations
52
3.4
Biological networks
54
3.4.1
Neural networks
54
3.4.2
Networks of metabolic reactions
56
3.4.3
Genome and protein networks
59
3.4.4
Ecological and food webs
60
3.4.5
Word Web of human language
63
3.5
Telephone call graph
66
3.6
Mail networks
66
3.7
Power grids and industrial networks
69
3.8
Electronic circuits
70
3.9
Nets of software components
71
3.10
Energy landscape networks
73
3.11
Overview
76
4
Equilibrium networks
84
4.1
Statistical ensembles of random networks
84
4.2
Classical random graphs
86
4.3
How to build an equilibrium net
88
4.4
Econophysics: condensation
of wealth
96
4.5
Condensation of edges in equilibrium networks
101
4.6
Correlations in equilibrium networks
102
4.7
Small-world networks
104
4.7.1
The Watts-Strogatz model and its variations
105
4.7.2
The smallest-world network
110
5
Non-equilibrium networks
112
5.1
Growing exponential networks
112
5.2
The
Barabási-Albert
model
115
5.3
Linear preference
118
5.4
How the preferential linking emerges
121
5.5
Scaling
124
5.6
Generic scale of 'scale-free' networks
126
5.7
More realistic models
127
5.8
Estimations for the WWW
130
5.9
Non-linear preference
131
5.10
Types of preference providing scale-free networks
133
5.11
Condensation of edges in inhomogeneous nets
135
5.12
Correlations in growing networks
140
5.13
How to obtain a strong clustering
142
5.14
Deterministic graphs
143
5.15
Accelerated growth of networks
148
5.16
Evolution of language
151
5.17
Partial copying and duplication
156
5.18
Non-equilibrium non-growing networks
159
6
Global topology of networks
161
6.1
Topology of undirected equilibrium networks
161
6.2
Topology of directed equilibrium networks
174
6.3
Failures and attacks
179
6.4
Resilience against random breakdowns
181
6.5
How viruses spread within networks
187
6.6
The Ising model on a net
190
6.7
Mesoscopics in networks
196
6.8
How to destroy a network
200
6.9
How to stop an epidemic
202
6.10
BKT percolation transition in growing networks
203
6.11
When loops and correlations are important
210
7
Growth of networks and self-organized criticality
212
7.1
Preferential linking and the Simon model
212
7.2
Econophysics: wealth distribution in evolving societies
214
7.3
Multiplicative stochastic processes
217
8
Philosophy of a small world
219
A Relations for an adjacency matrix
221
В
How to measure a distribution
222
С
Statistics of cliques
224
D
Power-law preference
226
E
Inhomogeneous growing net
228
F
^-transform
230
G
Critical phenomena in networks
232
H A
guide to the network literature
237
References
241
Index
263 |
| adam_txt |
CONTENTS
0
Modern architecture of random graphs
1
1
What are networks?
6
1.1
Basic notions
6
1.2
Adjacency matrix
10
1.3
Degree distribution
10
1.4
Clustering
14
1.5
Small worlds
16
1.6
Giant components
19
1.7
List of basic constructions
22
1.8
List of main characteristics
23
2
Popularity is attractive
25
2.1
Attachment of edges without preference
25
2.2
Preferential linking
28
3
Real networks
31
3.1
Networks of citations of scientific papers
31
3.2
Communication networks: the WWW and the Internet
34
3.2.1
Structure of the WWW
35
3.2.2
Search in the WWW
45
3.2.3
Structure of the Internet
46
3.3
Networks of collaborations
52
3.4
Biological networks
54
3.4.1
Neural networks
54
3.4.2
Networks of metabolic reactions
56
3.4.3
Genome and protein networks
59
3.4.4
Ecological and food webs
60
3.4.5
Word Web of human language
63
3.5
Telephone call graph
66
3.6
Mail networks
66
3.7
Power grids and industrial networks
69
3.8
Electronic circuits
70
3.9
Nets of software components
71
3.10
Energy landscape networks
73
3.11
Overview
76
4
Equilibrium networks
84
4.1
Statistical ensembles of random networks
84
4.2
Classical random graphs
86
4.3
How to build an equilibrium net
88
4.4
Econophysics: condensation
of wealth
96
4.5
Condensation of edges in equilibrium networks
101
4.6
Correlations in equilibrium networks
102
4.7
Small-world networks
104
4.7.1
The Watts-Strogatz model and its variations
105
4.7.2
The smallest-world network
110
5
Non-equilibrium networks
112
5.1
Growing exponential networks
112
5.2
The
Barabási-Albert
model
115
5.3
Linear preference
118
5.4
How the preferential linking emerges
121
5.5
Scaling
124
5.6
Generic scale of 'scale-free' networks
126
5.7
More realistic models
127
5.8
Estimations for the WWW
130
5.9
Non-linear preference
131
5.10
Types of preference providing scale-free networks
133
5.11
Condensation of edges in inhomogeneous nets
135
5.12
Correlations in growing networks
140
5.13
How to obtain a strong clustering
142
5.14
Deterministic graphs
143
5.15
Accelerated growth of networks
148
5.16
Evolution of language
151
5.17
Partial copying and duplication
156
5.18
Non-equilibrium non-growing networks
159
6
Global topology of networks
161
6.1
Topology of undirected equilibrium networks
161
6.2
Topology of directed equilibrium networks
174
6.3
Failures and attacks
179
6.4
Resilience against random breakdowns
181
6.5
How viruses spread within networks
187
6.6
The Ising model on a net
190
6.7
Mesoscopics in networks
196
6.8
How to destroy a network
200
6.9
How to stop an epidemic
202
6.10
BKT percolation transition in growing networks
203
6.11
When loops and correlations are important
210
7
Growth of networks and self-organized criticality
212
7.1
Preferential linking and the Simon model
212
7.2
Econophysics: wealth distribution in evolving societies
214
7.3
Multiplicative stochastic processes
217
8
Philosophy of a small world
219
A Relations for an adjacency matrix
221
В
How to measure a distribution
222
С
Statistics of cliques
224
D
Power-law preference
226
E
Inhomogeneous growing net
228
F
^-transform
230
G
Critical phenomena in networks
232
H A
guide to the network literature
237
References
241
Index
263 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T18:54:56Z |
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| institution | BVB |
| isbn | 0198515901 9780198515906 |
| language | English |
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| spelling | Dorogovcev, Sergej N. Verfasser (DE-588)143212338 aut Evolution of networks from biological nets to the Internet and WWW S.N. Dorogovtsev ; J.F.F. Mendes 1. publ., repr. Oxford Oxford University Press 2006 IX, 264 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Computer networks Neural networks (Artificial intell) TK 5101-6600 Telecommunications Biologie swd Entwicklung swd Internet swd Netzwerk <Graphentheorie> swd Netzwerk swd Rechnernetz swd World Wide Web swd System analysis Information networks Entwicklung (DE-588)4113450-3 gnd rswk-swf Netzwerk Graphentheorie (DE-588)4705155-3 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Netzwerk (DE-588)4171529-9 s Entwicklung (DE-588)4113450-3 s 1\p DE-604 Netzwerk Graphentheorie (DE-588)4705155-3 s 2\p DE-604 Mendes, José F. F. Sonstige oth Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016136886&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dorogovcev, Sergej N. Evolution of networks from biological nets to the Internet and WWW Computer networks Neural networks (Artificial intell) TK 5101-6600 Telecommunications Biologie swd Entwicklung swd Internet swd Netzwerk <Graphentheorie> swd Netzwerk swd Rechnernetz swd World Wide Web swd System analysis Information networks Entwicklung (DE-588)4113450-3 gnd Netzwerk Graphentheorie (DE-588)4705155-3 gnd Netzwerk (DE-588)4171529-9 gnd |
| subject_GND | (DE-588)4113450-3 (DE-588)4705155-3 (DE-588)4171529-9 |
| title | Evolution of networks from biological nets to the Internet and WWW |
| title_auth | Evolution of networks from biological nets to the Internet and WWW |
| title_exact_search | Evolution of networks from biological nets to the Internet and WWW |
| title_exact_search_txtP | Evolution of networks from biological nets to the Internet and WWW |
| title_full | Evolution of networks from biological nets to the Internet and WWW S.N. Dorogovtsev ; J.F.F. Mendes |
| title_fullStr | Evolution of networks from biological nets to the Internet and WWW S.N. Dorogovtsev ; J.F.F. Mendes |
| title_full_unstemmed | Evolution of networks from biological nets to the Internet and WWW S.N. Dorogovtsev ; J.F.F. Mendes |
| title_short | Evolution of networks |
| title_sort | evolution of networks from biological nets to the internet and www |
| title_sub | from biological nets to the Internet and WWW |
| topic | Computer networks Neural networks (Artificial intell) TK 5101-6600 Telecommunications Biologie swd Entwicklung swd Internet swd Netzwerk <Graphentheorie> swd Netzwerk swd Rechnernetz swd World Wide Web swd System analysis Information networks Entwicklung (DE-588)4113450-3 gnd Netzwerk Graphentheorie (DE-588)4705155-3 gnd Netzwerk (DE-588)4171529-9 gnd |
| topic_facet | Computer networks Neural networks (Artificial intell) TK 5101-6600 Telecommunications Biologie Entwicklung Internet Netzwerk <Graphentheorie> Netzwerk Rechnernetz World Wide Web System analysis Information networks Netzwerk Graphentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016136886&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dorogovcevsergejn evolutionofnetworksfrombiologicalnetstotheinternetandwww AT mendesjoseff evolutionofnetworksfrombiologicalnetstotheinternetandwww |