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Excerpt from On Central Limit Theorems in Geometrical Probability
We believe that our results give some partial insight on why a glt might hold for the mst as well. Ramey [10] has attempted to prove a glt for the mst, but his approach, although very interesting, did not succeed since he needed some unproven, but plausible.
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- PublisherForgotten Books
- Publication date2024
- ISBN 10 1334015201
- ISBN 13 9781334015205
- BindingPaperback
- LanguageEnglish
- Number of pages26
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On Central Limit Theorems in Geometrical Probability (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book presents a significant development in geometrical probability, proving central limit theorems for three fundamental constructions in computational geometry: the k-nearest graph, the Voronoi diagram, and the Delaunay triangulation. Within this field, the author provides a novel approach using dependency graphs to capture local dependence in these problems. The book establishes that, given a Poisson point process with parameter n, the lengths of these graphs satisfy central limit theorems as n approaches infinity. These results provide a theoretical framework for understanding the asymptotic behavior of these graphs and have implications for designing more efficient algorithms for solving related problems. Additionally, the author explores the relationship between these central limit theorems and efficient algorithms for these problems, demonstrating the potential for faster sequential and parallel algorithms. Overall, this book offers a valuable contribution to geometrical probability and computational geometry, providing new insights into the asymptotic behavior of important combinatorial structures and paving the way for advancements in algorithmic design. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781334015205_0
Quantity: Over 20 available
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On Central Limit Theorems in Geometrical Probability Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781334015205
Quantity: 15 available
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On Central Limit Theorems in Geometrical Probability Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781334015205
Quantity: 15 available