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Description - Random Geometric Graphs by Mathew Penrose

This monograph sets out a body of mathematical theory for finite graphs with nodes placed randomly in Euclidean space and edges added to connect points that are close to each other. As an alternative to classical random graph models, these geometric graphs are relevant to the modelling of real-world networks having spatial content, arising in numerous applications such as wireless communications, parallel processing, classification, epidemiology, astronomy, and the internet. Aimed at graduate students and researchers in probability, combinatorics, statistics, and theoretical computer science, it covers topics such as edge and component counts, vertex degrees, cliques, colourings, connectivity, giant component phenomena, vertex ordering and partitioning problems. It also illustrates and extends the application to geometric probability of modern techniques including Stein's method, martingale methods and continuum percolation.

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Book Details

ISBN: 9780198506263
ISBN-10: 0198506260
Format: Hardback
(241mm x 162mm x 22mm)
Pages: 344
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 1-May-2003
Country of Publication: United Kingdom

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