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Penrose, Mathew 作者

Oxford Univ Pr

译者

2003-6 出版日期

344 页数

$ 180.80 价格

HRD

丛书系列

9780198506263 图书编码

Random Geometric Graphs 在线电子书图书标签: 数学

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Random Geometric Graphs 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Random Geometric Graphs 在线电子书图书描述

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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