Description: DBSCAN s definition of a cluster is based on the notion of density reachability. Basically, a point is directly density-reachable from a point if it is not farther away than a given distance (i.e., is part of its-neighborhood) and if is surrounded by sufficiently many points such that one may consider and be part of a cluster. is called density-reachable (note: this is different from "directly density-reachable") from if there is a sequence of points with and where each is directly density-reachable from . Note that the relation of density-reachable is not symmetric (since might lie on the edge of a cluster, having insufficiently many neighbors to count as a genuine cluster element), so the notion of density-connected is introduced: two points and are density-connected if there is a point such that both and are density reachable from .
A cluster, which is a subset of the points of the database, satisfies two properties:
1.All points within the cluster are mutual
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