Random Walks and Diffusions on Graphs and Databases

Random Walks and Diffusions on Graphs and Databases

Dimitri Volchenkov / Philipp Blanchard

123,93 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2013
ISBN:
9783642268427
123,93 €
IVA incluido
Disponible

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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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Otros libros del autor

  • Random Walks and Diffusions on Graphs and Databases
    Dimitri Volchenkov / Philipp Blanchard
    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 Netw...