Epidemics and rumours in complex networks / Moez Draief, Laurent Massoulié.
نوع المادة : نصالسلاسل:London Mathematical Society lecture note series ; 369.الناشر:Cambridge ; New York : Cambridge University Press, 2010وصف:vi, 123 pages : illustrations ; 23 cmنوع المحتوى:- text
- unmediated
- volume
- 9780521734431
- 0521734436
- Epidemics and rumors in complex networks
- QA76.9.A25 D78 2010
نوع المادة | المكتبة الحالية | رقم الطلب | رقم النسخة | حالة | تاريخ الإستحقاق | الباركود | |
---|---|---|---|---|---|---|---|
كتاب | UAE Federation Library | مكتبة اتحاد الإمارات General Collection | المجموعات العامة | QA76.9.A25 D78 2010 (إستعراض الرف(يفتح أدناه)) | C.1 | Library Use Only | داخل المكتبة فقط | 30020000010812 |
Includes bibliographical references and index.
Galton-Watson branching processes -- Reed-Frost epidemics and Erdős-Rényi random graphs -- Connectivity and Poisson approximation -- Diameter of Erdős-Rényi graphs -- From microscopic to macroscopic dynamics -- The small-world phenomenon -- Power laws via preferential attachment -- Epidemics on general graphs -- Viral marketing and optimised epidemics.
This book is a concise introduction for applied mathematicians and computer scientists to basic models, analytical tools and mathematical and algorithmic results. Mathematical tools introduced include coupling methods, Poisson approximation (the Stein-Chen method), concentration inequalities (Chernoff bounds and Azuma-Hoeffding inequality) and branching processes. The authors examine the small-world phenomenon, preferential attachment, as well as classical epidemics. --from publisher description.