On nearest-neighbor graphs
UNSPECIFIED. (1997) On nearest-neighbor graphs. DISCRETE & COMPUTATIONAL GEOMETRY, 17 (3). pp. 263-282. ISSN 0179-5376Full 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
Q Science > QA Mathematics
|Journal or Publication Title:||DISCRETE & COMPUTATIONAL GEOMETRY|
|Number of Pages:||20|
|Page Range:||pp. 263-282|
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