Constructive methods for matrices of multihomogeneous resultants for unmixed systems have been studied in [7, 14, 16]. We generalize these constructions to mixed systems, whose Ne...
We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derived from the levelsets of a real-valued function on a top...
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
We describe the first algorithms to compute minimum cuts in surface-embedded graphs in near-linear time. Given an undirected graph embedded on an orientable surface of genus g, w...
Annals and chronicles may be the foundation of accounting, but writers of stories and histories have long known that they seldom render a satisfactory account of complex events. I...