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Long Range Interactions in Complex Networks

Franck Kalala Mutombo

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ISBN 10: 3639700899 / ISBN 13: 9783639700893
Published by Scholars' Press
New Condition: New Soft cover
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264 pages. Dimensions: 8.7in. x 5.9in. x 0.6in.An interaction in a complex network is any kind of information or process that can propagate between network units along network links. Complex networks, which represent the structural skeleton of our societal, technological and infrastructural systems, play a major role in the propagation of processes. It is usually assumed that interactions in networks propagate only from a node to its nearest neighbours. This book is concerned with interactions that can be transmitted from a node to others that are not directly connected to it. We call these interactions long-range interactions (LRI). We focus on the case of infections spreading in networks of social contacts. An infection, in it very broad sense, can be propagated through the network of social contacts among individuals. These contacts include both close contacts and casual encounters among individuals in transport, leisure, shopping. The LRI approach is then implemented in a susceptible-infected-susceptible (SIS) model accounting for the spread of infections in complex networks. A parameter called conductance controls the feasibility of those casual encounters. LRI is also extended to some concepts of complex networks. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9783639700893

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Bibliographic Details

Title: Long Range Interactions in Complex Networks

Publisher: Scholars' Press

Binding: Paperback

Book Condition:New

Book Type: Paperback

About this title

Synopsis:

An interaction in a complex network is any kind of information or process that can propagate between network units along network links. Complex networks, which represent the structural skeleton of our societal, technological and infrastructural systems, play a major role in the propagation of processes. It is usually assumed that interactions in networks propagate only from a node to its nearest neighbours. This book is concerned with interactions that can be transmitted from a node to others that are not directly connected to it. We call these interactions long-range interactions (LRI). We focus on the case of infections spreading in networks of social contacts. An infection, in it very broad sense, can be propagated through the network of social contacts among individuals. These contacts include both close contacts and casual encounters among individuals in transport, leisure, shopping. The LRI approach is then implemented in a susceptible-infected-susceptible (SIS) model accounting for the spread of infections in complex networks. A parameter called conductance controls the feasibility of those casual encounters. LRI is also extended to some concepts of complex networks.

About the Author:

Obtained a PhD in Mathematics and Statistics from the University of Strathclyde, Glasgow, United Kingdom in July 2012. Since 2013 is teaching Mathematics and Statistics as an associate Professor at Lubumbashi University, Democratic Republic of Congo.

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