Random Walks and Diffusions on Graphs and Databases: An Introduction: 10 (Springer Series in Synergetics) - Hardcover

Buch 11 von 46: Springer Series in Synergetics

Volchenkov, Dimitri; Blanchard, Philipp

 
9783642195914: Random Walks and Diffusions on Graphs and Databases: An Introduction: 10 (Springer Series in Synergetics)
Hardcover
ISBN 10: 3642195911 ISBN 13: 9783642195914
Verlag: Springer, 2011

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Philippe Blanchard is a mathematical physicist of international stature. He has edited/authored a number of books for Springer and is member of various editorial boards (e.g. Fundamental Theories of Physics)

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
3642195911
ISBN 13 
9783642195914
Einband
Tapa dura
Anzahl der Seiten
278
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
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Weitere beliebte Ausgaben desselben Titels

9783642268427: Random Walks and Diffusions on Graphs and Databases: An Introduction: 10 (Springer Series in Synergetics)

Vorgestellte Ausgabe

ISBN 10:  3642268420 ISBN 13:  9783642268427
Verlag: Springer, 2013
Softcover