Random graph dynamics /:
The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2007.
|
| Schriftenreihe: | Cambridge series on statistical and probabilistic mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter. |
| Beschreibung: | 1 online resource (ix, 212 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 203-210) and index. |
| ISBN: | 9780511349836 0511349831 0521866561 9780521866569 0511546599 9780511546594 |
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| spelling | Durrett, Richard, 1951- https://id.oclc.org/worldcat/entity/E39PBJxrTjfRBMH7D9CGRGGGpP http://id.loc.gov/authorities/names/n82253220 Random graph dynamics / Rick Durrett. Cambridge ; New York : Cambridge University Press, 2007. 1 online resource (ix, 212 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge series in statistical and probabilistic mathematics Includes bibliographical references (pages 203-210) and index. Overview -- Erdös-Rényi random graphs -- Fixed degree distributions -- Power laws -- Small worlds -- Random walks -- CHKNS model. Print version record. The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter. Random graphs. http://id.loc.gov/authorities/subjects/sh85111348 Graphes aléatoires. MATHEMATICS Graphic Methods. bisacsh Random graphs fast Zufallsgraph gnd http://d-nb.info/gnd/4277661-2 Grafentheorie. gtt Dynamica. gtt Electronic books. has work: Random graph dynamics (Text) https://id.oclc.org/worldcat/entity/E39PCGJC9FwyWR4JhyKWMhdBpq https://id.oclc.org/worldcat/ontology/hasWork Print version: Durrett, Richard, 1951- Random graph dynamics. Cambridge ; New York : Cambridge University Press, 2007 0521866561 9780521866569 (DLC) 2006020925 (OCoLC)70219882 Cambridge series on statistical and probabilistic mathematics. http://id.loc.gov/authorities/names/n96064948 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=206964 Volltext |
| spellingShingle | Durrett, Richard, 1951- Random graph dynamics / Cambridge series on statistical and probabilistic mathematics. Overview -- Erdös-Rényi random graphs -- Fixed degree distributions -- Power laws -- Small worlds -- Random walks -- CHKNS model. Random graphs. http://id.loc.gov/authorities/subjects/sh85111348 Graphes aléatoires. MATHEMATICS Graphic Methods. bisacsh Random graphs fast Zufallsgraph gnd http://d-nb.info/gnd/4277661-2 Grafentheorie. gtt Dynamica. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85111348 http://d-nb.info/gnd/4277661-2 |
| title | Random graph dynamics / |
| title_auth | Random graph dynamics / |
| title_exact_search | Random graph dynamics / |
| title_full | Random graph dynamics / Rick Durrett. |
| title_fullStr | Random graph dynamics / Rick Durrett. |
| title_full_unstemmed | Random graph dynamics / Rick Durrett. |
| title_short | Random graph dynamics / |
| title_sort | random graph dynamics |
| topic | Random graphs. http://id.loc.gov/authorities/subjects/sh85111348 Graphes aléatoires. MATHEMATICS Graphic Methods. bisacsh Random graphs fast Zufallsgraph gnd http://d-nb.info/gnd/4277661-2 Grafentheorie. gtt Dynamica. gtt |
| topic_facet | Random graphs. Graphes aléatoires. MATHEMATICS Graphic Methods. Random graphs Zufallsgraph Grafentheorie. Dynamica. Electronic books. |
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