Random Walks and Diffusions on Graphs and Databases An Introduction

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...

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Bibliographic Details
Main Authors: Blanchard, Philipp, Volchenkov, Dimitri (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2011, 2011
Edition:1st ed. 2011
Series:Springer Series in Synergetics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of 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