Monotonic Consistency and an Impossibility Theorem for Graph Clustering

15 Jun 2018Fabio StrazzeriRuben J. Sanchez-Garcia

Kleinberg introduced three natural clustering properties, or axioms, and showed they cannot be simultaneously satisfied by any clustering algorithm. We present a new clustering property, Monotonic Consistency, which avoids the well-known problematic behaviour of Kleinberg's Consistency axiom, and the impossibility result... (read more)

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