A course on the web graph:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2008
[Nova Scotia, Canada] Atlantic Association for Research in the Mathematical Sciences |
| Series: | Graduate Studies in Mathematics
89 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 184 Seiten graph. Darst. |
| ISBN: | 9780821844670 0821844679 |
Staff View
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Record in the Search Index
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| adam_text | ANTHONY BONATO GRADUATE STUDIES IN MATHEMATICS VOLUME 89 AMERICAN
MATHEMATICAL SOCIETY ATLANTIC ASSOCIATION FOR RESEARCH IN THE
MATHEMATICAL SCIENCES AARMS LIST OF FIGURES VII PREFACE IX CHAPTER 1.
GRAPHS AND PROBABILITY 1 §1.1. INTRODUCTION 1 §1.2. GRAPH THEORY 2 §1.3.
PROBABILITY THEORY 9 EXERCISES 14 CHAPTER 2. THE WEB GRAPH 19 §2.1.
INTRODUCTION 19 §2.2. OTHER REAL-WORLD SELF-ORGANIZING NETWORKS 28
EXERCISES 31 CHAPTER 3. RANDOM GRAPHS 33 §3.1. INTRODUCTION 33 §3.2.
WHAT IS A RANDOM GRAPH? 34 §3.3. EXPECTATION AND THE FIRST MOMENT METHOD
44 §3.4. VARIANCE AND THE SECOND MOMENT METHOD 47 §3.5. MARTINGALES AND
CONCENTRATION 50 EXERCISES . 54 CHAPTER 4. MODELS FOR THE WEB GRAPH 59
§4.1. INTRODUCTION 59 §4.2. ON-LINE WEB GRAPH MODELS 61 V VI CONTENTS
§4.3. FUTURE CHALLENGES IN MODELLING THE WEB GRAPH EXERCISES CHAPTER 5.
SEARCHING THE WEB §5.1. INTRODUCTION §5.2. AN OVERVIEW OF SEARCH ENGINES
§5.3. ADJACENCY MATRICES AND THE PERRON-FROBENIUS THEOREM §5.4. MARKOV
CHAINS §5.5. PAGERANK §5.6. HITS §5.7. SALSA §5.8. FURTHER ANALYSIS OF
WEB RANKING ALGORITHMS EXERCISES CHAPTER 6. THE INFINITE WEB §6.1.
INTRODUCTION §6.2. THE INFINITE RANDOM GRAPH §6.3. REPRESENTATIONS AND
PROPERTIES OF R §6.4. LIMITS OF COPYING MODELS §6.5. LIMITS OF
PREFERENTIAL ATTACHMENT MODELS §6.6. THE N-ORDERED GRAPHS AND THEIR
LIMITS EXERCISES CHAPTER 7. NEW DIRECTIONS IN INTERNET MATHEMATICS §7.1.
INTRODUCTION §7.2. EIGENVALUES OF POWER LAW GRAPHS §7.3. MODELLING
VIRUSES ON THE WEB §7.4. DOMINATING SETS IN THE WEB GRAPH EXERCISES
BIBLIOGRAPHY INDEX 92 94 97 97 98 99 103 105 110 113 , 115 117 121 121
124 127 132 142 145 153 157 157 158 160 162 168 171 181
|
| adam_txt |
ANTHONY BONATO GRADUATE STUDIES IN MATHEMATICS VOLUME 89 AMERICAN
MATHEMATICAL SOCIETY ATLANTIC ASSOCIATION FOR RESEARCH IN THE
MATHEMATICAL SCIENCES AARMS LIST OF FIGURES VII PREFACE IX CHAPTER 1.
GRAPHS AND PROBABILITY 1 §1.1. INTRODUCTION 1 §1.2. GRAPH THEORY 2 §1.3.
PROBABILITY THEORY 9 EXERCISES 14 CHAPTER 2. THE WEB GRAPH 19 §2.1.
INTRODUCTION 19 §2.2. OTHER REAL-WORLD SELF-ORGANIZING NETWORKS 28
EXERCISES 31 CHAPTER 3. RANDOM GRAPHS 33 §3.1. INTRODUCTION 33 §3.2.
WHAT IS A RANDOM GRAPH? 34 §3.3. EXPECTATION AND THE FIRST MOMENT METHOD
44 §3.4. VARIANCE AND THE SECOND MOMENT METHOD 47 §3.5. MARTINGALES AND
CONCENTRATION 50 EXERCISES . 54 CHAPTER 4. MODELS FOR THE WEB GRAPH 59
§4.1. INTRODUCTION 59 §4.2. ON-LINE WEB GRAPH MODELS 61 V VI CONTENTS
§4.3. FUTURE CHALLENGES IN MODELLING THE WEB GRAPH EXERCISES CHAPTER 5.
SEARCHING THE WEB §5.1. INTRODUCTION §5.2. AN OVERVIEW OF SEARCH ENGINES
§5.3. ADJACENCY MATRICES AND THE PERRON-FROBENIUS THEOREM §5.4. MARKOV
CHAINS §5.5. PAGERANK §5.6. HITS §5.7. SALSA §5.8. FURTHER ANALYSIS OF
WEB RANKING ALGORITHMS EXERCISES CHAPTER 6. THE INFINITE WEB §6.1.
INTRODUCTION §6.2. THE INFINITE RANDOM GRAPH §6.3. REPRESENTATIONS AND
PROPERTIES OF R §6.4. LIMITS OF COPYING MODELS §6.5. LIMITS OF
PREFERENTIAL ATTACHMENT MODELS §6.6. THE N-ORDERED GRAPHS AND THEIR
LIMITS EXERCISES CHAPTER 7. NEW DIRECTIONS IN INTERNET MATHEMATICS §7.1.
INTRODUCTION §7.2. EIGENVALUES OF POWER LAW GRAPHS §7.3. MODELLING
VIRUSES ON THE WEB §7.4. DOMINATING SETS IN THE WEB GRAPH EXERCISES
BIBLIOGRAPHY INDEX 92 94 97 97 98 99 103 105 110 113 , 115 117 121 121
124 127 132 142 145 153 157 157 158 160 162 168 171 181 |
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| index_date | 2024-07-02T20:14:59Z |
| indexdate | 2024-07-09T21:13:21Z |
| institution | BVB |
| isbn | 9780821844670 0821844679 |
| language | English |
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| physical | XI, 184 Seiten graph. Darst. |
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| spelling | Bonato, Anthony 1971- Verfasser (DE-588)1029584354 aut A course on the web graph Anthony Bonato Providence, RI American Mathematical Society 2008 [Nova Scotia, Canada] Atlantic Association for Research in the Mathematical Sciences XI, 184 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate Studies in Mathematics 89 Internet / Mathematical models Telecommunication / Traffic / Mathematical models Representations of graphs Information visualization Mathematisches Modell Internet Mathematical models Telecommunication Traffic Mathematical models Graph (DE-588)4021842-9 gnd rswk-swf Nachrichtenverkehrstheorie (DE-588)4191600-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Visualisierung (DE-588)4188417-6 gnd rswk-swf Information (DE-588)4026899-8 gnd rswk-swf Internet (DE-588)4308416-3 gnd rswk-swf Internet (DE-588)4308416-3 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Nachrichtenverkehrstheorie (DE-588)4191600-1 s Information (DE-588)4026899-8 s Visualisierung (DE-588)4188417-6 s Graph (DE-588)4021842-9 s Erscheint auch als Online-Ausgabe 978-1-4704-2119-9 Graduate Studies in Mathematics 89 (DE-604)BV009739289 89 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016404460&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bonato, Anthony 1971- A course on the web graph Graduate Studies in Mathematics Internet / Mathematical models Telecommunication / Traffic / Mathematical models Representations of graphs Information visualization Mathematisches Modell Internet Mathematical models Telecommunication Traffic Mathematical models Graph (DE-588)4021842-9 gnd Nachrichtenverkehrstheorie (DE-588)4191600-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Visualisierung (DE-588)4188417-6 gnd Information (DE-588)4026899-8 gnd Internet (DE-588)4308416-3 gnd |
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| title | A course on the web graph |
| title_auth | A course on the web graph |
| title_exact_search | A course on the web graph |
| title_exact_search_txtP | A course on the web graph |
| title_full | A course on the web graph Anthony Bonato |
| title_fullStr | A course on the web graph Anthony Bonato |
| title_full_unstemmed | A course on the web graph Anthony Bonato |
| title_short | A course on the web graph |
| title_sort | a course on the web graph |
| topic | Internet / Mathematical models Telecommunication / Traffic / Mathematical models Representations of graphs Information visualization Mathematisches Modell Internet Mathematical models Telecommunication Traffic Mathematical models Graph (DE-588)4021842-9 gnd Nachrichtenverkehrstheorie (DE-588)4191600-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Visualisierung (DE-588)4188417-6 gnd Information (DE-588)4026899-8 gnd Internet (DE-588)4308416-3 gnd |
| topic_facet | Internet / Mathematical models Telecommunication / Traffic / Mathematical models Representations of graphs Information visualization Mathematisches Modell Internet Mathematical models Telecommunication Traffic Mathematical models Graph Nachrichtenverkehrstheorie Visualisierung Information Internet |
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