We present a simple factor 6 algorithm for approximating the optimal multiplicative distortion of embedding (unweighted) graph metrics into tree metrics (thus improving and simplif...
Victor Chepoi, Feodor F. Dragan, Ilan Newman, Yuri...
We study best approximation problems with nonlinear constraints in Hilbert spaces. The strong "conical hull intersection property" (CHIP) and the "basic constraint q...
We show a tight relation between the behavior of unique games under parallel repetition and their semidefinite value. Let G be a unique game with alphabet size k. Suppose the semid...
We consider the variant of the minimum vertex cover problem in which we require that the cover induces a connected subgraph. We give new approximation results for this problem in d...
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...