We consider the practical NP-complete problem of finding a minimum weight spanning tree with both edge weights and inner nodes weights. We present two polynomial time algorithms ...
Rudolf Fleischer, Qi Ge, Jian Li, Shijun Tian, Hai...
In this paper, we present nearly optimal algorithms for broadcast on a d-dimensional nn:::n torus that supports all-port communication and wormhole routing. Let Tn denote the numb...
We show two new direct product results in two different models of communication complexity. Our first result is in the model of one-way public-coin model. Let f ⊆ X × Y × Z ...
This paper considers the problem of locating M facilities on the unit square so as to minimize the maximal demand faced by each facility subject to closest assignments and coverag...
The complexity of testing properties of monotone and unimodal distributions, when given access only to samples of the distribution, is investigated. Two kinds of sublineartime alg...