A cover of a hypergraph is a collection of edges whose union contains all vertices. Let H = (V, E) be a k-uniform, D-regular hypergraph on n vertices, in which no two vertices are contained in more than o(D/e log D) edges as D tends to infinity. Our results include that if k = o(log D), then there is a cover of (1 + o(1))n/k edges, extending the known result that this holds for fixed k. On the ...

fluctuation of exchange rate and its deviation from equilibrium path are one of the most important macroeconomic variables that is affected by different side of economical sectors. whereas, the exchange rate fluctuation and its deviation from equilibrium path haven’t the same and similar effects on all of the economical sectors, and considering eminent important of industrial development on the...

About at the break of sixties and seventies of this century the first functional and publicly used information system developed from originally experimental and non commercial applications of computer technology in storing and retrieval of document records. At the beginning these were mostly parallel editions of bibliographies in both printed and magnetic format. Thus developed on one hand data...

In the economical caching problem, an online algorithm is given a sequence of prices for a certain commodity. The algorithm has to manage a buffer of fixed capacity over time. We assume that time proceeds in discrete steps. In step i, the commodity is available at price ci ∈ [α, β], where β > α ≥ 0 and ci ∈ N. One unit of the commodity is consumed per step. The algorithm can buy this unit at th...