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ON NEAREST-NEIGHBOR GRAPHS
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UNSPECIFIED (1992) ON NEAREST-NEIGHBOR GRAPHS. LECTURE NOTES IN COMPUTER SCIENCE, 623 . pp. 416-426. ISSN 0302-9743.
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Abstract
The ''nearest neighbor'' relation, or more generally the ''k nearest neighbors'' relation, defined for a set of points in a metric space, has found many uses in computational geometry and clustering analysis, yet surprisingly little is known about some of its basic properties. In this paper, we consider some natural questions that are motivated by geometric embedding problems. We derive bounds on the relationship between size and depth for the components of a nearest-neighbor graph and prove some probabilistic properties of the k-nearest-neighbors graph for a random set of points.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||
Journal or Publication Title: | LECTURE NOTES IN COMPUTER SCIENCE | ||||
Publisher: | SPRINGER VERLAG | ||||
ISSN: | 0302-9743 | ||||
Official Date: | 1992 | ||||
Dates: |
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Volume: | 623 | ||||
Number of Pages: | 11 | ||||
Page Range: | pp. 416-426 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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