Random Geometric Graphs
By (author) Mathew Penrose
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Random Geometric Graphs by Mathew Penrose
Book DescriptionThis 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 DetailsISBN: 9780198506263
(241mm x 162mm x 22mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 1-May-2003
Country of Publication: United Kingdom
Books By Author Mathew Penrose
Random Graphs, Geometry and Asymptotic Structure, Paperback (April 2016)
A concise introduction, aimed at young researchers, to recent developments of a geometric and topological nature in random graphs.
Analysis and Stochastics of Growth Processes and Interface Models, Hardback (July 2008)» View all books by Mathew Penrose
The combination of articles from the two fields of analysis and probability is highly unusual and makes this book an important resource for researchers working in all areas close to the interface of these fields.
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