Random Graph : Mathematics, Graph (mathematics), Stochastic Process, Graph Theory, Probability Theory, Probability Distribution, Erdos-Renyi Model, Rado Graph, Random Regular Graph

Lambert M Surhone

ISBN 10: 6130369549 / ISBN 13: 9786130369545

Published by VDM Verlag Dr. Müller E.K., 2010

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! n mathematics, a random graph is a graph that is generated by some random process. The theory of random graphs lies at the intersection between graph theory and probability theory, and studies the properties of typical random graphs. A random graph is obtained by starting with a set of n vertices and adding edges between them at random. Different random graph models produce different probability distributions on graphs. Most commonly studied is the Erd s Rényi model, denoted G(n,p), in which every possible edge occurs independently with probability p. A closely related model, denoted G(n,M), assigns equal probability to all graphs with exactly M edges. The latter model can be viewed as a snapshot at a particular time (M) of the random graph process, which is a stochastic process that starts with n vertices and no edges and at each step adds one new edge chosen uniformly from the set of missing edges.

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Bibliographic Details

• Title: Random Graph : Mathematics, Graph (mathematics), Stochastic Process, Graph Theory, Probability Theory, Probability Distribution, Erdos-Renyi Model, Rado Graph, Random Regular Graph
• Publisher: VDM Verlag Dr. Müller E.K.
• Publication Date: 2010
• Language: English
• ISBN 10: 6130369549
• ISBN 13: 9786130369545
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 22W x 15H x 0.6D centimeters 22 centimeters width by 15 centimeters height by 0.6 centimeters depth
• Weight: 177 grams

About this title

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. n mathematics, a random graph is a graph that is generated by some random process. The theory of random graphs lies at the intersection between graph theory and probability theory, and studies the properties of typical random graphs. A random graph is obtained by starting with a set of n vertices and adding edges between them at random. Different random graph models produce different probability distributions on graphs. Most commonly studied is the Erdős–Rényi model, denoted G(n,p), in which every possible edge occurs independently with probability p. A closely related model, denoted G(n,M), assigns equal probability to all graphs with exactly M edges. The latter model can be viewed as a snapshot at a particular time (M) of the random graph process, which is a stochastic process that starts with n vertices and no edges and at each step adds one new edge chosen uniformly from the set of missing edges.