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In this paper we present a novel Incremental HierarchicalClustering (IHC) algorithm. Our approach aims to constructa hierarchy that satisfies the homogeneity and themonotonicity properties. Working in a bottom-up fashion,a new instance is placed in the hierarchy and a sequence ofhierarchy restructuring process is performed only in regionsthat have been affected by the presence of the new instance.The experimental results on a variety of domains demonstratethat our algorithm is not sensitive to input ordering,can produce a quality cluster hierarchy, and is efficient interms of its computational time.