The vertex representation, a new data structure for representing and manipulating orthogonal objects, is presented. Both interiors and boundaries of regions are represented implic...
Abstract. We introduce a new mixed method for linear elasticity. The novelty is a simplicial element for the approximate stress. For every positive integer k, the row-wise divergen...
The paper presents distributed and parallel -approximation algorithms for covering problems, where is the maximum number of variables on which any constraint depends (for example...
We give subexponential time approximation algorithms for UNIQUE GAMES and the SMALL-SET EXPANSION. Specifically, for some absolute constant c, we give:
We show that a k-fold covering using translates of an arbitrary convex polygon can be decomposed into Omega(k) covers (using an efficient algorithm). We generalize this result to ...