Polynomial algorithms for nested univariate clustering Original Research Article

Clique partitioning in Euclidean space Rn consists in finding a partition of a given set of N points into M clusters in order to minimize the sum of within-cluster interpoint distances. For n=1 clusters need not consist of consecutive points on a line but have a nestedness property. Exploiting this property, an O(N5M2) dynamic programming algorithm is proposed. A θ(N) algorithm is also given for the case M=2.