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Technical Random Geometric Graphs

Posted on 2010-03-17




Name:Technical Random Geometric Graphs
ASIN/ISBN:0198506260
Author:Mathew Penrose
Publisher:Oxford University Press
Publish Date:Jun 2003
Language:English
Pages:344
File size:1.9 Mb
   Technical Random Geometric Graphs

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  • Author: Mathew Penrose
  • Publisher: Oxford University Press
  • Publish Date: Jun 2003
  • Pages: 344
Description This monograph provides and explains the mathematics behind geometric graph theory, which studies the properties of a graph that consists of nodes placed in Euclidean space so that edges can be added to connect points that are close to one another. For example, a collection of trees scattered in a forest and the disease that is passed between them, a set of nests of animals or birds on a region and the communication between them or communication between communications stations or nerve cells. Aimed at graduate students and researchers in probability, statistics, combinatorics and graph theory including computer scientists, it covers topics such as: technical tools, edge and component counts, vertex degrees, clique and chromatic number, and connectivity. Applications of this theory are used in the study of neural networks, spread of disease, astrophysics and spatial statistics. Features First systematic and self contained account of the body of mathematical theory on random geometric graphs Provides and up-to-date account on the topic and illustrates cutting edge uses of modern techniques Includes open problems and indicates applications Product Details 344 pages; 22 line illus; ISBN13: 978-0-19-850626-3 ISBN10: 0-19-850626-0 About the Author(s) Mathew Penrose, Department of Mathematical Sciences, Durham University
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