Direct Density Reachability in Cluster Analysis: Understanding Core Object Proximity

In cluster analysis, the principle of direct density reachability plays a crucial role in defining the relationships between core objects within a cluster. When a cluster comprises multiple core objects, it is essential that for any given core object, there exists another core object in its vicinity. This requirement guarantees direct density reachability between these two core objects, strengthening the cluster's internal cohesion. This concept ensures that core objects are not isolated but are closely connected within the cluster, contributing to its overall density and well-defined structure.