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Random Geometric Graphs

Author: Mathew Penrose
Publisher: Oxford : Oxford Univ. Press, 2007.
Series: Oxford Scholarship Online
Edition/Format:   Computer file : EnglishView all editions and formats

This monograph provides and explains the probability theory of geometric graphs. Applications of the theory include communications networks, classification, spatial statistics, epidemiology,  Read more...


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Material Type: Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mathew Penrose
ISBN: 9780198506263 0198506260
OCLC Number: 613431308
Notes: Gesehen am: 31.01.2008.
Description: Online-Ressource.
Contents: 1. Introduction ; 2. Probabilistic ingredients ; 3. Subgraph and component counts ; 4. Typical vertex degrees ; 5. Geometrical ingredients ; 6. Maximum degree, cliques and colourings ; 7. Minimum degree: laws of large numbers ; 8. Minimum degree: convergence in distribution ; 9. Percolative ingredients ; 10. Percolation and the largest component ; 11. The largest component for a binomial process ; 12. Ordering and partitioning problems ; 13. Connectivity and the number of components ; References ; Index
Series Title: Oxford Scholarship Online


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The book is suitable to design a graduate course in random geometric graphs. Its scope stretches far beyond geometric probability and includes exciting material from Poisson approximation, Read more...

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