ON NEAREST-NEIGHBOR GRAPHS
UNSPECIFIED. (1992) ON NEAREST-NEIGHBOR GRAPHS. LECTURE NOTES IN COMPUTER SCIENCE, 623 . pp. 416-426. ISSN 0302-9743Full text not available from this repository.
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|
|Subjects:||Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software|
|Journal or Publication Title:||LECTURE NOTES IN COMPUTER SCIENCE|
|Number of Pages:||11|
|Page Range:||pp. 416-426|
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