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Random walks and diffusions on graphs and databases : an introduction

Author: Philippe Blanchard; Dimitri Volchenkov
Publisher: Berlin ; Heidelberg ; New York : Springer, ©2011.
Series: Springer series in synergetics (Unnumbered)
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Blanchard, Philippe.
Random walks and diffusions on graphs and databases.
Berlin : Springer, 2011
(DLC) 2011929690
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Philippe Blanchard; Dimitri Volchenkov
ISBN: 9783642195921 364219592X 3642195911 9783642195914
OCLC Number: 733542628
Description: 1 online resource (xiii, 262 pages) : illustrations.
Contents: Introduction to Permutations, Markov Chains, and Partitions --
Worth Another Binary Relation: Graphs --
Permutations Sieved Through Adjacency: Garph Autormorphisms --
Exploring Undirected Graphs by Random Walks --
Embedding of Graphs in Probabilistic Euclidean Space --
Random Walks and Electric Resistance Networks --
Random Walks and Diffusions on Directed Graphs and Interacting Networks --
Structural Analysis of Networks and Databases --
When Feedbacks Matter: Epidemics, Synchronization, and Self-Regulation in Complex Networks --
Critical Phenomena on Large Graphs With Regular Subgraphs --
Glossary of Graph Theory.
Series Title: Springer series in synergetics (Unnumbered)
Responsibility: Philippe Blanchard, Dimitri Volchenkov.

Abstract:

This book introduces the theory of graphs and random walks on graphs, covers methods for exploring the structure of finite connected graphs and databases, and details applications in electric  Read more...

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