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In recent years, statistical physicists have begun to apply their
methods to problems stemming from disciplines which are not theirs,
such as the dynamic laws governing the growth of the Internet. This
monograph is a contribution to the emerging field of complex
networks, i.e. the study of the dynamic and statistical properties
of systems composed of many nodes connected by links. After
reviewing the topological properties shared by many real large
networks along with the most popular models, a number of questions
are discussed from a statistical physics perspective: Why does the
map of the Internet have to be interpreted carefully? How does its
local topology influence the spread of computer viruses? Under what
circumstances is it possible to build a network that is both
efficient and inexpensive, when a cost has to be borne for
establishing physical links between the nodes? This book will prove
useful to all scientists interested in seeing an example of how
traditional approaches can successfully be applied to present-day
challenges.
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