We study the problem of sketching an input graph, so that, given the sketch, one can estimate the value (capacity) of any cut in the graph up to 1+ε approximation. Our results include both upper and lower bound on the sketch size, expressed in terms of the vertex-set size n and the accuracy ε. We design a randomized scheme which, given ε ∈ (0, 1) and an n-vertex graph G = (V,E) with edge capaci...

One of the most intricate and interesting domains of the entire atmosphere is the mesopause region. This area separates the thermosphere (above) from the mesosphere (below). The temporal variability in the thermosphere is strongly influenced by variations of the solar EUVand X-ray radiation, including particle impact due to the solar wind. The temporal behavior of the mesosphere is mainly deter...

In recent years, by population expansion and consequently expansion in service industries, competition has grown in retailing industry more than ever. Retailers can overcome competition in retailing industry by creating attractive, enjoyable, and even more exciting store environment. The purpose of this study is to help marketers, managers and retailers to create an enjoyable and memorable expe...