We consider k-median clustering in finite metric spaces and k-means clustering in Euclidean spaces, in the setting where k is part of the input (not a constant). For the k-means pr...
We identify and study a natural and frequently occurring subclass of Concurrent Read, Exclusive Write Parallel Random Access Machines (CREW-PRAMs). Called Concurrent Read, Owner Wr...
A dynamic geometric data stream consists of a sequence of m insert/delete operations of points from the discrete space {1, . . . , ∆}d [26]. We develop streaming (1 + )-approxim...
— Computer simulations of complex systems such as physical aggregation processes or swarming and collective behaviour of life-forms, often require order N-squared computational c...
For a set T of n points in a metric space (X, d), a point y X is dominated by a point x X if d(x, t) d(y, t) for all t T and there exists t T such that d(x, t ) < d(y, t )....
Victor Chepoi, Karim Nouioua, Edouard Thiel, Yann ...