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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Random Graph Dynamics (Paperback, Revised edition)
Loot Price: R1,138
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Random Graph Dynamics (Paperback, Revised edition)
Series: Cambridge Series in Statistical and Probabilistic Mathematics
Expected to ship within 10 - 15 working days
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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.
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