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portada Random Geometric Graphs (Oxford Studies in Probability)
Type
Physical Book
Publisher
Author
Year
2003
Language
English
Pages
344
Format
Hardcover
ISBN
0198506260
ISBN13
9780198506263
Edition No.
1
Categories

Random Geometric Graphs (Oxford Studies in Probability)

Mathew Penrose (Author) · Oxford University Press · Hardcover

Random Geometric Graphs (Oxford Studies in Probability) - Mathew Penrose

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Synopsis "Random Geometric Graphs (Oxford Studies in Probability) "

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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