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# Prove that in DBSCAN, for a fixed MinPts value and two neighborhood thresholds 1 2, a cluster C with respect to 1 and MinPts must be a subset of a...

Prove that in DBSCAN, for a fixed MinPts value and two neighborhood thresholds ε1 < ε2, a cluster C with respect to ε1 and MinPts must be a subset of a cluster C' with respect to ε2 and MinPts.