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Random Walks and Diffusions on Graphs and Databases - An Introduction (Paperback, 2011 ed.)
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Random Walks and Diffusions on Graphs and Databases - An Introduction (Paperback, 2011 ed.)
Series: Springer Series in Synergetics, 10
Expected to ship within 10 - 15 working days
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Most networks and databases that humans have to deal with contain
large, albeit finite number of units. Their structure, for
maintaining functional consistency of the components, is
essentially not random and calls for a precise quantitative
description of relations between nodes (or data units) and all
network components. This book is an introduction, for both graduate
students and newcomers to the field, to the theory of graphs and
random walks on such graphs. The methods based on random walks and
diffusions for exploring the structure of finite connected graphs
and databases are reviewed (Markov chain analysis). This provides
the necessary basis for consistently discussing a number of
applications such diverse as electric resistance networks,
estimation of land prices, urban planning, linguistic databases,
music, and gene expression regulatory networks.
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