The component structure of random graphs - Phase transitions in random graphs and random graph processes - Softcover

Seierstad, Taral Guldahl

Softcover

ISBN 10: 3836456419 ISBN 13: 9783836456418

Verlag: VDM Verlag Dr. Mueller e.K., 2007

Inhaltsangabe

No The Component Structure of Random Graphs - Phase Transitions in Random Graphs and Random Graph Processes Read a customer review or write one .

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Reseña del editor

Revision with unchanged content. Many random graph processes exhibit a phase transition, where the compo­nent structure of the graph changes radically caused by the addition of relatively few random edges. Before the phase transition the graph consists, with high probability, of many small components, while after the phase transition it contains, with high probability, a unique component of linear size, called the giant component, which is much larger than every other component in the graph. This book treats the phase transition and the emergence of the giant component in three different random graph models. It presents several techniques that are useful for studying this type of problem, including generating functions, branching processes and differential equations. The book is aimed at mathematicians interested in random graphs in general, and in the phase transition and the giant component in particular.

Biografía del autor

Dr. rer. nat. in computer science at the Humboldt University Berlin; currently postdoctoral fellow in biostatistics at the University of Oslo.

Details zur Ausgabe

• Verlag: VDM Verlag Dr. Mueller e.K.
• Erscheinungsdatum: 2007
• Sprache: Englisch
• ISBN 10: 3836456419
• ISBN 13: 9783836456418
• Einband: Tapa blanda
• Anzahl der Seiten: 136
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar