High costs, unreliable resources for long term use and extensive negative impact on our environment are such problems associated with traditional sources of energy and fossil fuels which make us move toward implementation of renewable sources of energy. Fossil fuel pollution and reserve depletion in oil producing countries caused by increasing demands, make wind energy an attractive source of e...

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 ...