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Epidemics and Rumours in Complex Networks

Author: Moez Draief; Laurent Massoulié
Publisher: Cambridge : Cambridge University Press, 2010.
Series: London Mathematical Society lecture note series, no. 369.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
A concise introduction for applied mathematicians and computer scientists to modern approaches to epidemic modelling on networks.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Moez Draief; Laurent Massoulié
ISBN: 9780511806018 0511806019 9780521517034 0521517036
OCLC Number: 776965903
Notes: Title from publishers bibliographic system (viewed 22 Dec 2011).
Description: 1 online resource (130 pages).
Contents: Cover; Title; Copyright; Contents; Introduction; Part I Shapeless networks; 1 Galton-Watson branching processes; 1.1 Introduction; 1.2 Depth-first exploration; 1.3 Breadth-first exploration; 1.4 One-by-one exploration; 1.5 Chernoff bounds and total population size; 1.6 Notes; 1.7 Problems; 2 Reed-Frost epidemics and Erdos-Rényi random graphs; 2.1 Introduction; 2.2 Emergence of the giant component; 2.3 The subcritical regime; 2.4 The supercritical regime; 2.5 The critical regime; 2.6 Notes; 3 Connectivity and Poisson approximation; 3.1 Introduction; 3.2 Variation distance. 3.3 The Stein-Chen method3.4 Emergence of connectivity in E-R graphs; 3.5 Notes; 4 Diameter of Erdos-Rényi graphs; 4.1 Introduction; 4.2 Diameter of E-R graphs; 4.3 Control of neighbourhood growth; 4.4 Bounds for the diameter; 4.5 Notes; 5 From microscopic to macroscopic dynamics; 5.1 Introduction; 5.2 Birth and death processes; 5.3 Kurtz's theorem; 5.4 Notes; Part II Structured networks; 6 The small-world phenomenon; 6.1 Introduction; 6.2 Small world according to Strogatz and Watts; 6.3 Small world according to Kleinberg; 6.4 Notes; 7 Power laws via preferential attachment; 7.1 Introduction. 7.2 Barabási-Albert random graphs7.3 Yule process; 7.4 Notes; 8 Epidemics on general graphs; 8.1 Introduction; 8.2 Reed-Frost model; 8.3 SIS model; 8.4 Epidemics on specific graphs; 8.5 Notes; 9 Viral marketing and optimised epidemics; 9.1 Model and motivation; 9.2 Algorithmic hardness; 9.3 Submodular structure and its consequences; 9.4 Viral marketing; 9.5 Notes; References; Index.
Series Title: London Mathematical Society lecture note series, no. 369.
Responsibility: Moez Draief, Laurent Massoulié.

Abstract:

This concise introduction to basic models, analytical tools and mathematical and algorithmic results is an ideal accompaniment for graduate courses. It is also for researchers (statistical  Read more...

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'this is a nice introduction, at the level of a graduate course, to the propagation of biological epidemics and the spread of rumours in networks, aimed at students in computer science and applied Read more...

 
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