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

 
9783639432862: The component structure of random graphs: Phase transitions in random graphs and random graph processes

Synopsis

Revision with unchanged content. Many random graph processes exhibit a phase transition, where the compo-nent 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.

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About the Author

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

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9783836456418: The component structure of random graphs - Phase transitions in random graphs and random graph processes

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ISBN 10:  3836456419 ISBN 13:  9783836456418
Publisher: VDM Verlag Dr. Mueller E.K., 2007
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Taral Guldahl Seierstad
Published by AV Akademikerverlag Jun 2012, 2012
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Revision with unchanged content. Many random graph processes exhibit a phase transition, where the compo nent 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. 136 pp. Englisch. Seller Inventory # 9783639432862

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Seierstad Taral GuldahlDr. rer. nat. in computer science at the Humboldt University Berlin currently postdoctoral fellow in biostatistics at the University of Oslo.Revision with unchanged content. Many random graph processes exh. Seller Inventory # 4987494

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Taral Guldahl Seierstad
Published by AV Akademikerverlag Jun 2012, 2012
ISBN 10: 363943286X ISBN 13: 9783639432862
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 136 pp. Englisch. Seller Inventory # 9783639432862

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Published by AV Akademikerverlag, 2012
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Revision with unchanged content. Many random graph processes exhibit a phase transition, where the compo nent 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. Seller Inventory # 9783639432862

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